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Parabolas and Algebra Review

Total questions: 26

Worksheet time: 18mins

Name
Class
Date
1.

A function is a relation in which...

a)

each input has 7 outputs

b)

each input has only one output

c)

each output has 7 inputs

d)

each output only has one input

2.

The slope of a vertical line is...

a)

1

b)

0

c)

undefined

d)

-1

3.

What is the y-intercept of y = -2x + 3?

a)

(0, -2)

b)

(0, 0)

c)

(0, 3)

d)

(-2, 3)

4.

Solve:

2y + 1 = 2y + 2 - 1

a)

y = 1

b)

y = 0

c)

all real numbers

d)

no solution

5.

Which phrases accurately describe the parabola of the function below?

y = x2 − 1y\ =\ x^2\ -\ 1  

a)

opens upward, y-intercept is (0, 1)

b)

opens downward, y-intercept is (0,1)

c)

opens downward, y-intercept is (0,-1)

d)

opens upward, y-intercept is (0,-1)

6.

Of the functions below, which has the NARROWEST parabola?

a)

y = 20x2y\ =\ 20x^2  

b)

y = 2x2y\ =\ 2x^2  

c)

y = 12x2y\ =\ \frac{1}{2}x^2  

d)

y =−x2y\ =-x^2  

7.

Factor:

x2 + 7x + 10x^2\ +\ 7x\ +\ 10  

a)

(x + 7)(x + 10)

b)

(x + 10)(x + 1)

c)

(x + 2)(x + 5)

d)

prime

8.

Multiply:

(x - 1)(x + 2)

a)

x2 + 3x + 2x^2\ +\ 3x\ +\ 2  

b)

x2 + x − 2x^2\ +\ x\ -\ 2  

c)

x2 − x − 2x^2\ -\ x\ -\ 2  

d)

x2 + 2x + 2x^2\ +\ 2x\ +\ 2  

9.

Name the polynomial:

3x2 + 2x − 13x^2\ +\ 2x\ -\ 1  

a)

quadratic binomial

b)

quadratic trinomial

c)

cubic binomial

d)

cubic trinomial

10.

Simplify:

x4x\frac{x^4}{x}  

a)

x2x^2  

b)

x3x^3  

c)

2x52x^5  

d)

x5x^5  

11.

Which written expression matches the algebraic expression below?

4x − 24x\ -\ 2  

a)

the product of four and x, subtracted from two

b)

the product of four and x, subtracted by two

c)

the sum of four and x, subtracted from two

d)

the sum of four and x, subtracted by two

12.

Simplify:

10 - 3(x + 2)

a)

7x - 2

b)

7x - 14

c)

-3x + 4

d)

-3x + 12

13.

What is the y-intercept of the function below?

y = 2x2 + 8x + 1y\ =\ 2x^2\ +\ 8x\ +\ 1  

a)

(0, 2)

b)

(0, 8)

c)

(0, 1)

d)

(2, 1)

14.

What is the parent quadratic function?

a)

y = xy\ =\ x  

b)

y = x2y\ =\ x^2  

c)

y = x3y\ =\ x^3  

d)

y = x4y\ =\ x^4  

15.

What is the maximum number of y-intercepts a linear function can have?

a)

0

b)

1

c)

2

d)

3

16.

Find the solution set from the replacement set: {-1, 0, 1}

7x + 1 = 7

a)

{1}

b)

{-1}

c)

{0}

d)

{ }

17.

Solve:

x + 23= 2x6\frac{x\ +\ 2}{3}=\ \frac{2x}{6}  

a)

x = 0

b)

x = 1

c)

all real numbers

d)

no solution

18.

Factor:

6xy − 10x6xy\ -\ 10x  

a)

2(3xy - 5x)

b)

x(6y - 10)

c)

2x(3y - 5)

d)

6x(y - 4)

19.

Which of the following does NOT show an identity property?

a)

6 + 0 = 6

b)

4(1) = 4

c)

5(-1) = -5

d)

-7 + 0 = -7

20.

If y = 4x, what is x when y = 2?

a)

x = 2x\ =\ 2  

b)

x = 4x\ =\ 4  

c)

x = 12x\ =\ \frac{1}{2}  

d)

x = 8x\ =\ 8  

21.

The price of dried pork liver dog food in 2019 was $4 per pound. The current price is $8 per pound. What is the percent change in price per pound?

a)

$4

b)

$12

c)

100%

d)

200%

22.

What is the x-intercept of the function below?

4x − 2y = −84x\ -\ 2y\ =\ -8  

a)

(-2, 0)

b)

(2, 0)

c)

(4, 0)

d)

(-4, 0)

23.

The NCAA basketball tournament is also known as...

a)

the Olympics

b)

the Tournament of Champions

c)

March Madness

d)

April Sadness

24.

Which former wrestling star voices Maui on Disney's Moana and stars in the new Jumanji movies?

a)

Hulk Hogan

b)

The Rock

c)

Stone Cold Steve Austin

d)

Kevin Hart

25.

What is the chemical symbol for gold?

a)

Au

b)

Ag

c)

G

d)

Ar

26.

What letter is used most often in the English language?

a)

A

b)

T

c)

S

d)

E