Quiz about Mock SOL Algebra 1 2023

Question 1

-118 = -5(4+7x)+7

Accepted Answer

3

Answer

-5

Answer

-9

Answer

-1

Question 2

3x+15 = 3(x+5)

Accepted Answer

All Real Numbers

Answer

No Solution

Answer

x=15

Answer

x = 0

Question 3

Does the equation have one, none, or infinitely many solutions?

12x-8 = 12x-9-1

Accepted Answer

no solution

Answer

x=0

Answer

infinitely many

Question 4

Solve the following inequality:

-2(x+2) < 14

Accepted Answer

x > -9

Answer

x < -5

Answer

x > -5

Answer

x < -9

Question 5

Select the graph the correctly indentifies the solution to:

2(x+6) < -6

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

Question 6.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 7

Simplify:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 8

Factor completely:

$$x^2-17x+72$$

Accepted Answer

(x-9)(x-8)

Answer

(x-9)(x+8)

Answer

x(x-3)

Answer

(x+9)(x+8)

Question 9

Factor Completely:

$$2k^2-14k-60$$

Accepted Answer

2(k-10)(k+3)

Answer

2(k-10)(k-3)

Answer

Prime

Answer

(k-5)(k+9)

Question 10

Find the quotient when $$\left(21x^2-52x+32\right)$$ is divided by $$\left(7x-8\right)$$

Accepted Answer

3x-4

Answer

3x+4

Answer

3x+3

Answer

3x+2

Question 11

Divide the polynomial by the monomial

Accepted Answer

$$3x^6-8x^3$$

Answer

$$15x^9-8x^3$$

Answer

$$-5x^{12}$$

Answer

$$3x^6-40x^3$$

Question 12

Evaluate the following expression:

$$-3x^2-5x+7\ when\ x=-2$$

Accepted Answer

5

Answer

10

Answer

12

Answer

7

Question 13

Multiply

$$\left(b+3\right)\left(b^2+2b+1\right)$$

Accepted Answer

$$b^3+5b^2+7b+3$$

Answer

$$b^3+6b^2+6b+3$$

Answer

$$4b^3+8b^2+3b$$

Answer

$$3b^3+6b^2+3b$$

Question 14

Find the product:

(3x + 2)(2x + 4)

Accepted Answer

$$6x^2+16x+8$$

Answer

$$5x^2+11x+6$$

Answer

$$5x^2+16x+6$$

Answer

$$6x^2+11x+8$$

Question 15

$$5x\left(4x^3+8\right)$$

Accepted Answer

$$20x^4+40x$$

Answer

$$9x^4+13x$$

Answer

$$20x^3+40x$$

Answer

$$9x^4+13x$$

Question 16

SOLVE:

$$2x^2-9x=35$$

Accepted Answer

x = -5/2, x = 7

Answer

x = 7/2, x = -6

Answer

x = -5/2, x = 5

Answer

x = -3/7, x = 6

Question 17

Solve for the values of x:

(x + 2)(x - 3) = 0

Accepted Answer

{ -2,3 }

Answer

{ 2,3 }

Answer

{ -2,-3 }

Answer

{ 2,-3 }

Question 18

What is the equation of this parabola in its factored form?

Accepted Answer

y= -(x-1)(x-3)

Answer

y=(x+1)(x+3)

Answer

y=(x-1)(x-3)

Answer

y= -(x+1)(x+3)

Question 19

Solve the following equation for x:

4(2x-3) = 6x+2

Accepted Answer

x = 7

Answer

x = 5/2

Answer

x = 1

Answer

no solution

Question 20

Solve for x and y

y = 2x + 1

y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 21

Solve the system:

-8x - 10y = 20

-8x - 6y = -4

Accepted Answer

(5,-6)

Answer

Infinite number of solutions

Answer

(6,5)

Answer

(-6,-5)

Question 22

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

(1,-3)

Question 23

Graph:

$$y\le-2x+5$$

$$y>2x+7$$

Which of the following is NOT a solution?

Accepted Answer

(-3,0)

Answer

(-4,2)

Answer

(-10,7)

Answer

(-2,6)

Question 24

Is (3,-2) a solution to the system:

$$2x+2y\ge-9$$

$$x-y<6$$

Accepted Answer

Yes

Answer

No

Answer

Sometimes

Question 25

Select the graph for

$$5x+y\le-1$$

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 26

Find the slope of the line that passes through the points (2,4) and (6,12)

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 27

What is the equation of the line?

Accepted Answer

y=1

Answer

y=0

Answer

y=2

Answer

x=1

Question 28

Write an equation in slope-intercept form of the line that passes through the given points:

(-4,-7) and (-6,9)

Accepted Answer

y = -8x-39

Answer

y = 8x+39

Answer

y = -8x-32

Answer

y = 8x+32

Question 29

What is the value of the slope of this line:

4x+y=2

Accepted Answer

-4

Answer

4

Answer

2

Answer

-2

Question 30

Which value is the y intercept in the equation:

4x+y=2

Accepted Answer

2

Answer

4

Answer

-4

Answer

-2

Question 31

What is the x and y intercept for the following equation?

4x - 10y = 20

Accepted Answer

x-int = 5 y-int = -2

Answer

x-int = 4 y-int = -10

Answer

x-int = 5 y-int = 2

Answer

x-int = 4 y-int = -10

Question 32

Which graph represents 2x + 4y = 12

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 33

$$\left(2x^3y\right)^6$$

Accepted Answer

$$64x^{18}y^6$$

Answer

$$2x^{18}y^6$$

Answer

$$64x^3y^6$$

Answer

$$2x^3y^6$$

Question 34

$$\frac{2c\ ^5d^{10}}{3c^9d^8}$$

Accepted Answer

$$\frac{2d^2}{3c^4}$$

Answer

$$\frac{2}{3}c^{-4}d^2$$

Answer

$$\frac{6d^2}{3c^4}$$

Answer

$$6c^{14}d^{18}$$

Question 35

Where are the zeros of the function:

$$f\left(x\right)=x^2+x-42$$

Accepted Answer

-7 and 6

Answer

7 and -6

Answer

1 and 42

Answer

8 and -3

Question 36

The x-intercepts of $$y=x^2-9$$ are

Accepted Answer

3,-3

Answer

1,-9

Answer

9,-9

Answer

only 3

Question 37

Write the equation of the line:

Accepted Answer

y = -3x - 3

Answer

y = -x - 3

Answer

y = -3x - 1

Answer

y = -1/3x - 1

Question 38

Is the given table a direct variation? If so, what is the constant of variation?

Accepted Answer

Yes, 3

Answer

Yes, 1/3

Answer

Yes, 5

Answer

No

Question 39

The number of hours to paint a house varies inversely with the number of painters working. A 2400 square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

Accepted Answer

9 painters

Answer

8 painters

Answer

10 painters

Answer

11 painters

Question 40

What is the constant (k) in this inverse variation?

Accepted Answer

48

Answer

12

Answer

24

Answer

Not enough information given

Question 41

Question 41.

Accepted Answer

Not a Function

Answer

Function

Question 42

Question 42.

Accepted Answer

Not a Function

Answer

Function

Question 43

All of the y values or outputs are called what?

Accepted Answer

Range

Answer

Domain

Answer

Relation

Answer

Function

Question 44

The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree be 30 years after it was planted?

Accepted Answer

37 feet

Answer

22 feet

Answer

23 feet

Answer

36 feet

Question 45

All of the x values or inputs are called what?

Accepted Answer

Domain

Answer

Range

Answer

Relation

Answer

Function

Question 46

Question 46.

Accepted Answer

Function

Answer

Not a Function

Question 47

Question 47.

Accepted Answer

Not a Function

Answer

Function

Question 48

If $$f\left(x\right)=2\left(3^x\right)+1$$ , what is the value of f(2)?

Accepted Answer

19

Answer

37

Answer

13

Answer

20

Question 49

Given $$f\left(x\right)=x^2+3x+1$$ , find f(-4)

Accepted Answer

5

Answer

-27

Answer

-3

Answer

-5

Question 50

The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90 degrees?

Accepted Answer

55

Answer

0

Answer

103

Question 51

Find the curve of best fit

Accepted Answer

$$y=1.2x^2+13x+504.3$$

Answer

$$y=12x^2+13x+504.3$$

Answer

$$y=.12x^2+1.3x+504.3$$

Answer

$$y=1.2x^2+1.3x+504.3$$

Question 52

Using the curve of best fit, find the height of the ball when it traveled a distance of 10 feet

Accepted Answer

13.3 feet

Answer

12.8 feet

Answer

11.1 feet

Answer

17 feet

Question 53

What is the domain?

Accepted Answer

x:{all real numbers}

Answer

$$x:\left\{x\ge0\right\}$$

Answer

$$x:\left\{x\ge-4\right\}$$

Answer

$$y:\left\{y\ge-4\right\}$$

Answer

$$y:\left\{y\ge0\right\}$$

Question 54

What is the range?

Accepted Answer

$$y:\left\{y\ge-4\right\}$$

Answer

x:{all real numbers}

Answer

$$x:\left\{x\ge0\right\}$$

Answer

$$y:\left\{y\le-4\right\}$$

Answer

$$y:\left\{y\ge0\right\}$$

Mock SOL Algebra 1 2023

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