SATs Math 3

Question 1

What are the solutions to x² − 7x + 12 = 0?

Accepted Answer

x = 3 and x = 4

Answer

Factoring gives (x − 3)(x − 4) = 0, so x = 3 or x = 4.

Question 2

The expression x² + 6x + 9 can be written as (x + a)². What is a?

Accepted Answer

3

Answer

x² + 6x + 9 is a perfect square trinomial equal to (x + 3)².

Question 3

If g(x) = 2x + 1 and h(x) = x² − 3, what is g(h(2))?

Accepted Answer

3

Answer

h(2) = 4 − 3 = 1, then g(1) = 2(1) + 1 = 3.

Question 4

Which expression is equivalent to (3x² − 2x + 5) − (x² + 4x − 3)?

Accepted Answer

2x² − 6x + 8

Answer

Distributing the minus sign and combining like terms: 3x² − x² = 2x², −2x − 4x = −6x, 5 + 3 = 8.

Question 5

What is the simplified value of √48 ÷ √3?

Accepted Answer

4

Answer

√48 ÷ √3 = √(48/3) = √16 = 4.

SATs (Standard Assessment Test) Practice Test