Algebra 1 Midterm Review

Exponential Rules (Properties of Exponents)

100

What expression is not equivalent to (5^2x)³?

A) (5^x)⁶

B) (5^3x)²

C) (5⁵)^x

D) (5²)^3x

C) (5⁵)^x

200

What expression is equivalent to (-4x²)³?

-64x⁶

300

The expression (2a)^-4 simplified is equivalent to

1/16a⁴

400

What expression is equivalent to (m⁴q⁴z^-1) (mq⁵z³), where m, q and z are positive?

m⁵q⁹z²

500

The expression 5^{a +2b} is equivalent to

5^a * 25^b

Operations with Polynomials

100

What expression is equivalent to 2( 3g - 4) - (8g +3) when simplified?

-2g - 11

200

The expression 1/3 (6x² - 3x +9) is equivalent to 

2x³ - x² +3x

300

The expression (3x² +4x -8) + 2( 11- 5x) is equivalent to 

3x² - 6x + 14

400

When the expression 2x( x - 4) - 3( x+ 5) is written in simplest form, the result is

2x² -11x -15

500

The expression (5x² - x + 4) - 3(x² - x - 2) is equivalent to 

2x² +2x + 10

Solving Absolute Value Equations

100

What does absolute value | | mean?

Absolute value means the distance a number is from zero.

200

Solve the absolute value:

| x +5| = 10

x = 5 

x = -15

300

Solve the following:

| 2x - 6| = 12

 x = 9 

x = -3

400

For what value of n is |n - 1| + 1 equal to 0?

There is no such value

500

| 5x +13| = 73

What is the sum of the solutions to the given equation?

26/5 or 5.2

Solving Equations & Inequalities

100

The solution to 3(x -8) + 4x = 8x + 4 is

x = -28

200

Solve algebraically for y:

4( y - 3) </ 4 (2y + 1)

y >/ -4

300

Given 7x + 2 >/ 58, which number is not in the solution set?

A) 6

B) 8

C) 10

D) 12

A) 6

400

When 3a + 7b > 2a - 8b is solved for a, the result is 

a > -15b

500

What is the solution to 3/2b + 5 <17?

b < 8