SAT Prep Questions

Algebra and Functions

100

Solve for x: 3x+7=19

x=4

200

A line that passes through (0,2) with slope 3

y=3x+2

300

Solve 5x-2<3x+8

x<5

400

Solve for x and y: 2x+y=10 and x-y=4

x=14/3, y=2/3

500

A line parallel to y=2x+1 through (4,5)

y=2x-3

Quadratics and Polynomials

100

Solve x²=49

x=±7

200

Factor x²+5x+6

(x+2)(x+3)

300

Solve x²-3x-10=0

x=5 and x=-2

400

What is the Vertex of y=x²-4x+3

(2,-1)

500

Solve 2x²+3x-2=0

x=1/2, x=-2

Word Problems and Applications

100

3 movie tickets at $12 each

$36

200

A taxi charges $3.00 to start the ride plus $2.50 per mile. Write an equation for the cost C of riding m miles.

C=3+2.5m

300

The sum of two numbers is 35, and one number is 7 more than the other. Find the two numbers.

14 and 21

400

A rectangle has length that is twice its width. If its perimeter is 60, find its length and width.

Width = 10, Length = 20

500

A school sold tickets to a play. Student tickets cost $5 and adult tickets cost $8. If 200 tickets were sold for a total of $1,340, how many student tickets were sold?

86 student tickets

Exponent and Radicals

100

Simplify: sqrt49

7

200

Simplify: 2³ x 2⁴

2⁷=128

300

Solve for x: 5^x=125

x=3

400

Simplify: 9x²y/3x

3xy

500

If x^1/2=7, solve for x

x=49

Systems and Functions

100

Solve: x+y=10, x-y=4

x=7, y=3

200

if f(x)2x+1, find f(5)

11

300

Solve: 2x+3y=12, x-y=1

x=3, y=2

400

If f(x)=x²-2x, find f(-3)

15

500

A system has solutions when y=2x+1 and y=-x+4. Find the point of intersection.

(1,3)