Practice Algebra

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

• y=1.5+20x

• y=1.5x + 20

• y = 20x + 1.5

• y= 21.5x

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.

• 16

• -8

• 8

• 4

Find the product. 
(m-8)(m-9)

• m²+17m-72

• m²-17m-72

• m²-17m+72

• m²-72

Solve the equation using the quadratic formula.

• A

• B

• C

• D

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

• (8, 0)

• (0, 8)

• (3, 0)

• (0, 3)

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?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

• -32

• -3

• -12

• 3

Simplify the expression:

3x² - x + 7 + 5x + 2 - 2x²

• x² + 4x + 9

• 5x² + 9

• 15

• 15x

Fill in the blank of the missing coefficient.

(x+3)(x+6)= x²+___x+18