Algebra I Practice Flashcards

Solve for x: 3x + 7 = 22

Answer: x = 5

Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.

What is the slope of the line represented by the equation y = 4x - 9?

Answer: 4

In slope-intercept form y = mx + b, m is the slope, so the slope here is 4.

Simplify the expression: 5(2x - 3) + 4x

Answer: 14x - 15

Distribute 5 to get 10x - 15, then combine with 4x to get 14x - 15.

Which of the following is a factor of x^2 - 9?

Answer: x - 3

x^2 - 9 is a difference of squares, factoring to (x - 3)(x + 3).

A system of equations is y = 2x + 1 and y = -x + 7. What is the solution?

Answer: (2, 5)

Setting 2x + 1 = -x + 7 gives 3x = 6, so x = 2, and y = 2(2) + 1 = 5.

What is the value of the function f(x) = x^2 - 2x + 1 when x = 3?

Answer: 4

f(3) = 3^2 - 2(3) + 1 = 9 - 6 + 1 = 4.

Solve the inequality: 2x - 5 > 9

Answer: x > 7

Add 5 to both sides to get 2x > 14, then divide by 2 to get x > 7.

What is the y-intercept of the line y = -3x + 6?

Answer: 6

In y = mx + b form, b is the y-intercept, which is 6 here.

Simplify: (2x^3)(3x^2)

Answer: 6x^5

Multiply coefficients (2 x 3 = 6) and add exponents (3 + 2 = 5) to get 6x^5.

Which expression represents the area of a rectangle with length (x + 4) and width (x - 2)?

Answer: x^2 + 2x - 8

Multiply (x + 4)(x - 2) using FOIL: x^2 - 2x + 4x - 8 = x^2 + 2x - 8.

What is the solution to the equation x^2 - 5x + 6 = 0?

Answer: x = 2 or x = 3

Factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.

A cell phone plan costs $20 plus $0.10 per text message. Which equation models the total cost, C, for t text messages?

Answer: C = 20 + 0.10t

The fixed cost of $20 plus a variable cost of $0.10 per text gives C = 20 + 0.10t.