Quiz about Practice Algebra

Question 1

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

Accepted Answer

y=1.5x + 20

Answer

y=1.5+20x

Answer

y = 20x + 1.5

Answer

y= 21.5x

Question 2

Graduates throw their graduation caps upwards at the end of their graduation ceremony.
The height of a graduation cap in the air after it is thrown can be modeled by the function
y = -16t² + 16t + 4
where t is time in seconds, and y is the height of the cap in feet.
Complete the square to find the maximum height of the cap in feet.

Accepted Answer

8

Answer

16

Answer

-8

Answer

4

Question 3

Find the product.
(m-8)(m-9)

Accepted Answer

m2-17m+72

Answer

m2+17m-72

Answer

m2-17m-72

Answer

m2-72

Question 4

Solve the equation using the quadratic formula.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 5

Give the x-intercept
3x + 8y = 24

Accepted Answer

(8, 0)

Answer

(0, 8)

Answer

(3, 0)

Answer

(0, 3)

Question 6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

Accepted Answer

3x + 2y = 315
2x + 4y = 450

Answer

3x + 2y = 450
2x + 4y = 315

Answer

2x + 2y = 315
3x + 4y = 450

Question 7

Simplify the expression:

3x²- x + 7 + 5x + 2 - 2x²

Accepted Answer

x²+ 4x + 9

Answer

5x2 + 9

Answer

15

Answer

15x

Question 8

What inequality does the graph represent?

Accepted Answer

$$x\le1$$

Answer

$$x<1$$

Answer

$$x>1$$

Answer

$$x\ge1$$

Question 9

Callie and Huck did a summer reading challenge. Since Callie's books are much longer, she is asked to read more than half of the amount of Huck's books plus 4 for the summer. Callie read 13 books. Write an inequality to represent the situation.

Accepted Answer

$$\frac{1}{2}H+4<13$$

Answer

$$2H-4<13$$

Answer

$$\frac{1}{2}H+4>13$$

Answer

$$2H-4>13$$

Question 10

Solve for x. Include all answers. Round to the nearest tenth if necessary.

$$10x^3+1=641$$

Accepted Answer

$$x=4$$

Answer

$$x=8.6$$

Answer

$$x=\pm8$$

Answer

$$x=\pm4.2$$

Question 11

Identify ALL of the roots for the equation 3x² + 9 + 10x = 0

Accepted Answer

$$\frac{-5+i\sqrt{2}}{3}$$

Accepted Answer

$$\frac{-5-i\sqrt{2}}{3}$$

Answer

$$\frac{-5-2i\sqrt{2}}{3}$$

Answer

$$\frac{-5+2i\sqrt{2}}{3}$$

Answer

$$\frac{i\sqrt{2}}{3}$$

Question 12

Choose the nature of the solutions for a quadratic equation with the following discriminant. Discriminant = 18

Accepted Answer

2 real, irrational solutions

Answer

2 complex solutions

Answer

2 real, rational solutions

Answer

1 real, rational solution

Answer

1 complex solution

Question 13

Choose the nature of the solutions for a quadratic equation with the following discriminant. Discriminant = 0

Accepted Answer

1 real, rational solution

Answer

2 complex solutions

Answer

2 real, rational solutions

Answer

2 real, irrational solutions

Answer

1 complex solution

Question 14

Choose the nature of the solutions for a quadratic equation with the following discriminant.

Discriminant = -5

Accepted Answer

2 complex solutions

Answer

2 real, rational solutions

Answer

2 real, irrational solutions

Answer

1 real, rational solution

Answer

1 complex solution

Practice Algebra

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