ACT and Sat Practice

Express y in terms of x

1/17/2019

If x = 3r - 4 and y = 3r + 2, which of the following expresses y in terms of x ?
A.) y = x + 2
B.) y = x + 6
C.) y = 9r + 14
D.) y = 6r - 2
E.) y = 3x + 14

The fluctuation of water depth at a pier is shown in the figure below. One of the following values gives the positive
difference, in feet, between the greatest water depth and the least water depth shown in the graph. Which value is it?

A.) 3
B.) 6
C.) 9
D.) 12
E.) 19

Midpoint Between Two Points

1/9/2019

In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has the endpoints (3,8) and (1,-4) ?
A.) (-2,-12)
B.) (-1,-6)
C.) (11/2, -3/2)
D.) (2,2)
E.) (4,-12)

Evaluate a Rational Expression

1/6/2019

When x = 1/2, what is the value of:

8x - 3
--------
x

A.) 1/2
B.) 2
C.) 5/2
D.) 5
E.) 10

Find the missing angle

1/2/2019

In parallelogram ABCD, AC is a diagonal, the measure of ∠ABC is 40°, and the measure of ∠ACD is 57°. What is the
measure of ∠CAD?

A.) 40°
B.) 57°
C.) 77°
D.) 83°
E.) 97°

Problem Solving With a Linear Equation

12/26/2018

The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35
monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total
charges from each club to be equal?
A.) 1
B.) 4
C.) 5
D.) 6
E.) 75

Probability of drawing dollar bills

12/23/2018

A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The
wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn
will be a twenty-dollar bill?
A.) 1/20
B.) 4/51
C.) 1/8
D.) 2/5
E.) 2/3

Evaluate the Function

12/22/2018

Let the function f be defined as f(x) = 5x² - 7(4x + 3).
What is the value of f(3)?

A.) -18
B.) -26
C.) -33
D.) -60
E.) -75

Probability

9/15/2018

The 35-member History Club is meeting to choose a student government representative. The members decide that the
representative, who will be chosen at random, cannot be any of the 3 officers of the club. What is the probability that
Hinoko, who is a member of the club but not an officer, will be chosen?
A.) 0
B.) 4/35
C.) 1/35
D.) 1/3
E.) 1/32

Eggs in the casserole recipe

9/6/2018

Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?
A.) 6
B.) 8
C.) 10
D.) 12
E.) 15

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