SAT Algebra Practice

Question 1

Solve 3√a - 7 = 8

Accepted Answer

25

Question 2

The sum of two weights is 100 pounds and their difference is 20, what is the smaller weight?

Accepted Answer

40

Question 3

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Accepted Answer

5 and 8

Question 4

If 2x + 3y = z, what is y in terms of x and z?

Accepted Answer

(z - 2x) / 3

Question 5

Factor x2 - 2x – 15.

Accepted Answer

(x+3)(x-5)

Question 6

If x + 1 = 23, what is the value of 3x + 3 ?

Accepted Answer

69

Question 7

Simplify the expression 5a + 3b – 6a2 – 4b + 2a – (-2b)

Accepted Answer

-6a2 + 7a + b

Question 8

If |3x – 2| = 12, what are the possible values of x?

Accepted Answer

x = {14/3, -10/3}

Question 9

Anumber, x , decreased by 13 is less than or equal to 39.

Accepted Answer

x - 13 ≤ 39

Question 10

If f(x) = 2x – 2, what is f(-3)?

Accepted Answer

-8

Question 11

If √(2x + 4) = √36, what is the value of x ?

Accepted Answer

16

Question 12

Ten less than a number, x, is greater than twice the number is:

Accepted Answer

x – 10 > 2x

Question 13

In a certain room, the number of chairs, c, is equal to 3 times thenumber of tables, t.

Accepted Answer

3 ● t = c

Question 14

Given that x + y = 7 and 2x – y = 5, what are the values of x and y?

Accepted Answer

x = 4 y = 3

Question 15

If 2x + 3y = 4, what is the value of 12x + 18y?

Accepted Answer

24

Question 16

If |2x + 7| = 2, what are the possible values of x?

Accepted Answer

x = {-5/2, -9/2}

Question 17

If √x =√a+√b, then which of the following is equivalentto x ?

Accepted Answer

a + b

Question 18

Which of the following are values for x if 3x - 1 ≥ 20?

Accepted Answer

7, 8, 9

Question 19

What are the solutions of x for the equation x2 + 5x – 14 = 0 ?

Accepted Answer

x = -7, 2

Question 20

Which of the following are values for x if -3x + 2 > 17?

Accepted Answer

-6

Questions 20