ALGEBRA 1 REVIEW

EXPRESSIONS/EQUATIONS

100

Two expressions connected together with an equals sign ( = ) is called an _________

A. Equation

B. Expression

C. Variable

D. Constant

A. Equation

200

Simplify the expression: 2x² + 3x - 4 - 7x + 5

A. x² - 4x + 1

B. 2x² - 4x + 1

C. 2x² - 10x + 9

D. 2x² - 4x + 9

B. 2x² - 4x + 1

300

What is the solution to 3(m-15)=30 ?

A. m=15

B. m=5

C. m=10

D. m=25

D. m=25

400

What is the solution to 5x - 6 = -3(x - 14)

A. x = 6

B. x = 14

C. x = 5

D. x = -5

A. x = 6

500

What are the solutions (you should get 2 numbers) to x² + 7x + 10 = 0 ?

A. x = 3 and -4

B. x = -2 and -5

C. x = 1 and 3

D. x = 0 and 6

B. x = -2 and -5

Domain/Range

100

The Domain of a function is the set of all _________

A. x-values

B. y-values

A. x-values

200

What is the Domain of f(x) = x² + 3 ?

A. 3 < x < ∞

B. 3 < y < ∞

C. -2 < x < ∞

D. All Real Numbers

D. All Real Numbers

300

What is the Range of f(x) = x² + 3 ?

A. 3 ≤ x < ∞ 

B. 0 ≤ x < ∞ 

C. 3 ≤ y < ∞ 

D. 0 ≤ y < ∞ 

C. 3 ≤ y < ∞

400

What is the range of -x²+2x+4 ?

A.   5 < x ≤ ∞

B. -∞ < x ≤ 5

C.   5 < y ≤ ∞

D. -∞ < y ≤ 5

D. -∞ < y ≤ 5

500

What is the Range of y = 3 ?

A. {3} OR "only 3"

B.  3 < y ≤ ∞

C.  3 < x ≤ ∞

D. All Real Numbers

A. {3} OR "only 3"

LINEAR EQUATIONS

100

Is the following equation in slope intercept form: 2x - 3y = 4 ?

A. yes

B. no

B. no

200

The slope of the equation y = 3x - 5 is ____

A. -5

B. 0.33333

C. -3

D. 3

3

300

What is the slope of the equation y = 6 ?

A. undefined

B. -6

C. 0

D. 6

C. 0

400

What is the slope of the line that is perpendicular to y = -½ x + 3 ?

A. -½

B. ½

C. -2

D. 2

D. 2

500

What is the equation of the line that has a slope of 4 and a y-intercept of 5?

A. y = ¼ x + 5

B. y = 4x + 5

C. y = 5x + ¼ 

D. y = 5x + 4 

B. y = 4x + 5

Exponential Rules

100

Product Rule: x³ ⋅ x⁴ = 

A. x¹²

B. x⁷

C. x¹

D. x^3.5

B. x⁷

200

Power Rule: (3x⁴)³ =

A. 9x¹²

B. 27x⁷

C. 27x¹²

D. 9x

C. 27x¹²

300

Product Rule: 2b³ ⋅ 4b² ⋅ b⁵ =

A. 8b¹⁰

B. 6b¹⁰

C. 8b³⁰

D. 6b⁵

A. 8b¹⁰

400

Power Rule: (2x⁶y¹⁰z³)³ = 

A. 6x⁹y³⁰z⁹

B. 5x¹⁸y³⁰z⁹

C. 8x¹⁸y³⁰z⁹

D. 5x⁹y¹³z⁶

C. 8x¹⁸y³⁰z⁹

500

(xy)³ ⋅ (2x³y⁵)²

A. 4x⁹y¹³

B. 4x⁶y¹³

C. 2x⁹y¹³

D. 4x⁹y¹⁰

A. 4x⁹y¹³

Distribution

100

Which of the answers is equivalent to 5x-15 ?

A. 2(x+13)

B. 5(x-3)

C. 5(x-10)

D. 5(x+3)

B. 5(x-3)

200

Which of the following is equivalent to -(x-3) ?

A. x+3

B. -x-3

C. x-3

D. -x+3

D. -x+3

300

Which of the following is equivalent to 2d(d+6) ?

A. 2d²+12d

B. 2d²+8d

C. 3d²+12d

D. 2d²+6d

A. 2d²+12d

400

Which of the following is equivalent to 9a²-3a ?

A. 9a(a-1)

B. 3a(a-3)

C. 3a(3a-1)

D. a(9a+1)

C. 3a(3a-1)

500

Which of the following is equivalent to (2x-1)(3x+4) ?

A. 5x²+5x+4

B. 5x²+3x-4

C. 6x²+2x+4

D. 6x²+5x-4

D. 6x²+5x-4