From counting and number sense in kindergarten to derivatives and integrals in college, every student learns math differently. Sessions are built around where your student actually is, not where a textbook says they should be, so gaps get filled and confidence grows alongside skill.
Thorough assessment of current skills and concept gaps before we begin.
Interactive online sessions with real-time problem solving and screen sharing.
Homework help, test prep, and concept-building sessions. Whatever the student needs most.
Flexible scheduling to fit after-school, evening, and weekend routines.
Your Tutor
Meet Your Math Tutor
Kristen Graham
Expert Math Tutor & Educator
With over a decade of classroom and online teaching experience, I've helped students at every level build the math skills they need to succeed. From a kindergartner learning to count by tens to a college student wrestling with calculus, I specialize in breaking down complex concepts into clear, logical steps that actually make sense.
My approach is simple: I meet your student exactly where they are, figure out what's not clicking, and build from there. Every session is focused, patient, and tailored to the real student in front of me. No generic lesson plans.
10+ years of teaching and tutoring experience
Math expertise from kindergarten through college level
Algebra I & II, Geometry, Statistics, Pre-Calculus, and Calculus
Test prep: SAT, ACT, ISEE math sections
Executive functioning and study skills coaching
100% online, flexible scheduling, no commute
What We Offer
Math Tutoring for Every Stage
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Elementary Math
Building a strong foundation in number sense, place value, fractions, basic operations, and word problems. Sessions are patient and encouraging, designed specifically for younger learners.
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Middle & High School Math
Targeted support across Pre-Algebra, Algebra I & II, Geometry, Statistics, Precalculus, and Trigonometry. Great for homework help, test prep, or catching up on missed concepts.
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College Math & Test Prep
Support for college-level courses including Calculus I & II, Statistics, and College Algebra, plus math sections of the SAT, ACT, and ISEE. Every session is strategic and focused on real results.
Interactive Practice
Try Some Math Problems
Pick a level below, choose your answer, and get a clear explanation of the reasoning. Great for students, parents, and anyone who wants to see what we work on.
Question 1
Kindergarten · Counting & Cardinality
Maria has 4 apples. She picks 3 more from the tree. How many apples does Maria have now?
Correct Answer: B. Maria starts with 4 apples and picks 3 more: \(4 + 3 = 7\). A great strategy for young learners is to start with the bigger number (4) and count up 3: "5, 6, 7."
Question 2
Grade 1 · Place Value
What is the value of the digit 3 in the number 35?
Correct Answer: C. In the number 35, the digit 3 is in the tens place. That means it represents 3 tens, or 30. The digit 5 is in the ones place and represents 5. Together: \(30 + 5 = 35\).
Question 3
Grade 2 · Addition & Subtraction
A bookstore had 85 books. It sold 47 books on Saturday. How many books are left?
Correct Answer: A. \(85 - 47 = 38\). One strategy: \(85 - 40 = 45\), then \(45 - 7 = 38\). Breaking subtraction into steps makes it easier to manage!
Question 4
Grade 3 · Multiplication
A classroom has 6 rows of desks. Each row has 7 desks. How many desks are in the classroom?
Correct Answer: D. \(6 \times 7 = 42\). Equal groups are the foundation of multiplication: 6 groups of 7 is the same as adding 7 six times: \(7+7+7+7+7+7 = 42\).
Question 5
Grade 3 · Fractions
Which fraction is equivalent to \(\dfrac{1}{2}\)?
Correct Answer: B. Equivalent fractions represent the same amount. \(\dfrac{3}{6}\) simplifies to \(\dfrac{1}{2}\) (divide top and bottom by 3). You can also multiply: \(\dfrac{1 \times 3}{2 \times 3} = \dfrac{3}{6}\). Think of it as cutting a pizza into 6 slices and taking 3 - same as taking 1 out of 2 halves!
Question 6
Grade 4 · Multi-Digit Multiplication
What is \(24 \times 15\)?
Correct Answer: C. One clean strategy: \(24 \times 15 = 24 \times 10 + 24 \times 5 = 240 + 120 = 360\). Breaking multiplication into friendlier parts (the distributive property) is a powerful mental math tool.
Question 7
Grade 5 · Fractions - Adding Unlike Denominators
What is \(\dfrac{1}{3} + \dfrac{1}{4}\)?
Correct Answer: A. To add fractions with different denominators, find a common denominator first. The LCD of 3 and 4 is 12. Convert: \(\dfrac{1}{3} = \dfrac{4}{12}\) and \(\dfrac{1}{4} = \dfrac{3}{12}\). Then add: \(\dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}\). A common error is adding the tops AND bottoms separately - that's not how fraction addition works!
Question 8
Grade 5 · Decimals
What is \(3.6 \times 0.4\)?
Correct Answer: D. Multiply as whole numbers first: \(36 \times 4 = 144\). Count total decimal places in both factors: 3.6 has 1, and 0.4 has 1, so that's 2 decimal places total. Place the decimal: \(1.44\). Always count decimal places rather than trying to estimate. It's more reliable!
Question 9
Grade 6 · Ratios & Proportions
A recipe uses 3 cups of flour for every 2 cups of sugar. If you want to use 9 cups of flour, how many cups of sugar do you need?
Correct Answer: B. Set up a proportion: \(\dfrac{3}{2} = \dfrac{9}{x}\). Cross-multiply: \(3x = 18\), so \(x = 6\). Another way to see it: flour tripled (from 3 to 9), so sugar must also triple: \(2 \times 3 = 6\). Proportional reasoning is one of the most useful math skills in everyday life.
Question 10
Grade 6 · Integers
What is \(-8 + 3\)?
Correct Answer: C. Think of a number line: start at \(-8\) and move 3 steps to the right, landing on \(-5\). When signs are different (one positive, one negative), subtract the smaller absolute value from the larger: \(8 - 3 = 5\), and keep the sign of the larger - negative - giving \(-5\).
Question 11
Grade 7 · Percentages
A jacket costs $80. It is on sale for 25% off. What is the sale price?
Correct Answer: A. 25% of $80 = \(0.25 \times 80 = \$20\) discount. Sale price = \(\$80 - \$20 = \$60\). Shortcut: if something is 25% off, you pay 75% of the original price. \(0.75 \times 80 = \$60\). Same answer, one step!
Question 12
Grade 7 · Proportional Relationships
A car travels at a constant speed of 60 miles per hour. How far does it travel in 2.5 hours?
Correct Answer: D. Distance = Rate × Time: \(60 \times 2.5 = 150\) miles. You can also break it up: \(60 \times 2 = 120\) miles for the first 2 hours, plus \(60 \times 0.5 = 30\) miles for the half hour. \(120 + 30 = 150\).
Question 13
Grade 8 · Solving Equations
Solve for \(x\): \(3x - 7 = 14\)
Correct Answer: B. Add 7 to both sides: \(3x = 21\). Divide both sides by 3: \(x = 7\). Always check: \(3(7) - 7 = 21 - 7 = 14\). ✓ The goal in solving equations is to isolate the variable by doing the same operation to both sides.
Question 14
Grade 8 · Pythagorean Theorem
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
Correct Answer: C. Use \(a^2 + b^2 = c^2\): \(6^2 + 8^2 = 36 + 64 = 100\). So \(c = \sqrt{100} = 10\). This is the famous 3-4-5 Pythagorean triple scaled up by 2 (6-8-10). Recognizing common triples (3-4-5, 5-12-13, 8-15-17) saves a lot of time!
Question 15
Grade 8 · Linear Relationships
A plumber charges a $40 flat fee plus $40 per hour. Which equation represents the total cost \(C\) for \(h\) hours of work?
Correct Answer: A. The $40/hour is the rate - it multiplies by the number of hours. The $40 flat fee is a one-time charge - it's added on regardless of time. So the equation is \(C = 40h + 50\). This is the slope-intercept form \(y = mx + b\), where slope = 40 (rate of change) and y-intercept = 50 (starting value).
Score: 0 / 15
Question 1
Algebra · Exponential Functions
A bacterial population triples in size every 4 hours. If the initial population at \(t = 0\) is 150, which expression represents the population after \(t\) hours?
Correct Answer: C. Exponential growth follows \(P = I \cdot R^{t/p}\), where \(I = 150\), \(R = 3\), and \(p = 4\). The exponent \(t/4\) counts how many 4-hour periods have passed. After 4 hours: \(150 \cdot 3^{4/4} = 150 \cdot 3 = 450\). ✓
Question 2
Algebra · Systems of Equations
In the \(xy\)-plane, the parabola \(y = x^2 - 6x + 14\) intersects the line \(y = 2x + k\) at exactly one point. What is the value of \(k\)?
Correct Answer: A. Set equal: \(x^2 - 6x + 14 = 2x + k\), giving \(x^2 - 8x + (14 - k) = 0\). For exactly one intersection, discriminant = 0: \(64 - 4(14-k) = 0 \Rightarrow 8 + 4k = 0 \Rightarrow k = -2\).
Question 3
Algebra · Linear Functions
A line passes through the points \((3,\ 11)\) and \((-1,\ -5)\). Which of the following is the equation of this line?
Correct Answer: C. Slope \(m = \dfrac{11-(-5)}{3-(-1)} = \dfrac{16}{4} = 4\). Using point-slope with \((3, 11)\): \(y - 11 = 4(x - 3) \Rightarrow y = 4x - 1\). Verify: \(4(-1) - 1 = -5\). ✓
Question 4
Algebra · Quadratic Equations
The function \(f(x) = x^2 - 10x + 21\) has two zeros. What is the sum of those zeros?
Correct Answer: D. By Vieta's formulas: sum of roots = \(-b/a = -(-10)/1 = 10\). Or factor: \((x-3)(x-7) = 0\) gives roots 3 and 7; \(3 + 7 = 10\).
Question 5
Algebra · Polynomial Expressions
Which expression is equivalent to \((2x^3 - 5x^2 + 3x - 7) - (x^3 + 2x^2 - 6x + 4)\)?
Correct Answer: B. Distribute the negative: \(2x^3 - 5x^2 + 3x - 7 - x^3 - 2x^2 + 6x - 4\). Combine: \(x^3 - 7x^2 + 9x - 11\). Don't forget to distribute the negative to every term in the second polynomial!
Question 6
Algebra · Rational Expressions
Which expression is equivalent to \(\dfrac{x^2 - 9}{x^2 - x - 6}\)?
Correct Answer: C. Factor: numerator = \((x+3)(x-3)\), denominator = \((x-3)(x+2)\). Cancel \((x-3)\): \(\dfrac{x+3}{x+2}\). (Undefined when \(x = 3\) or \(x = -2\).)
Question 7
Geometry · Area & Volume
A cylindrical water tank has a radius of 6 feet and a height of 10 feet. Water fills the tank at \(9\pi\) cubic feet per minute. How many minutes to fill it completely?
Correct Answer: A. Volume \(= \pi r^2 h = \pi(36)(10) = 360\pi\). Time \(= \dfrac{360\pi}{9\pi} = 40\) minutes. Notice \(\pi\) cancels, which is a common pattern worth recognizing.
Question 8
Geometry · Trigonometry
In a right triangle, \(\sin\theta = \dfrac{5}{13}\). What is \(\cos\theta\)?
Correct Answer: B. Opposite = 5, hypotenuse = 13. Adjacent \(= \sqrt{13^2 - 5^2} = \sqrt{144} = 12\). So \(\cos\theta = \dfrac{12}{13}\). This is the classic 5-12-13 Pythagorean triple.
Question 9
Statistics · Measures of Center
A data set of 6 values has a mean of 14. If the value 8 is removed, what is the mean of the remaining 5 values?
Correct Answer: C. Total sum \(= 6 \times 14 = 84\). Remove 8: new sum \(= 76\). New mean \(= \dfrac{76}{5} = 15.2\). Always adjust both the sum AND the count.
Question 10
Statistics · Probability
A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of NOT drawing a green marble?
Correct Answer: A. Total = 12. P(green) \(= \dfrac{2}{12} = \dfrac{1}{6}\). P(not green) \(= 1 - \dfrac{1}{6} = \dfrac{5}{6}\). The complement rule is your best friend in probability problems.
Question 11
Precalculus · Function Notation
If \(f(x) = 2x^2 + 3\), what is \(f(x + 1) - f(x)\)?
Correct Answer: B. \(f(x+1) = 2(x+1)^2 + 3 = 2x^2 + 4x + 5\). Subtract \(f(x) = 2x^2 + 3\): result is \(4x + 2\). The squared terms cancel, which is the key insight.
Question 12
Precalculus · Circles
A circle has equation \(x^2 + y^2 - 8x + 6y = 0\). What is the radius?
Correct Answer: D. Complete the square: \((x-4)^2 + (y+3)^2 = 16 + 9 = 25\). Radius \(= \sqrt{25} = 5\). Center is \((4, -3)\). Add the same values to both sides when completing the square.
Question 13
Calculus · Derivatives
What is the derivative of \(f(x) = 3x^4 - 5x^2 + 7\)?
Correct Answer: A. Apply the power rule to each term: \(\dfrac{d}{dx}[3x^4] = 12x^3\), \(\dfrac{d}{dx}[-5x^2] = -10x\), and the derivative of a constant (7) is 0. Result: \(f'(x) = 12x^3 - 10x\). The constant disappears, which is a key concept in differentiation.
Question 14
Calculus · Integrals
What is \(\displaystyle\int (6x^2 - 4x + 1)\,dx\)?
Correct Answer: C. Apply the reverse power rule to each term: \(\int 6x^2\,dx = 2x^3\), \(\int -4x\,dx = -2x^2\), \(\int 1\,dx = x\). Always add \(+ C\) for indefinite integrals. It represents any constant that would disappear under differentiation.
Question 15
Calculus · Related Rates
A spherical balloon is being inflated so that its volume increases at a rate of \(10\pi\) cubic inches per second. When the radius is 5 inches, how fast is the radius increasing? (Volume of a sphere: \(V = \dfrac{4}{3}\pi r^3\))
Correct Answer: B. Differentiate implicitly: \(\dfrac{dV}{dt} = 4\pi r^2 \dfrac{dr}{dt}\). Substitute \(\dfrac{dV}{dt} = 10\pi\) and \(r = 5\): \(10\pi = 4\pi(25)\dfrac{dr}{dt} = 100\pi\dfrac{dr}{dt}\). Solve: \(\dfrac{dr}{dt} = \dfrac{10\pi}{100\pi} = \dfrac{1}{10}\) in/sec. Related rates always start with differentiating the relevant formula with respect to time.
Score: 0 / 15
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