Algebra, Proportions & Ratios, and Probability

Chapter 1: Algebra, Proportions and Ratios, and Probability

By Nathan Sterwerf

Algebra

Multiple Choice

Consider the equation 3x + 1 = -2x + 11

• -11

• -2

• 2

• 2.4

• 11

Multiple Choice

Which value of x satisfies the equation?

• 4

• 6

• 9

• 27

• 54

​Proportions and Ratios

Multiple Choice

On a certain map of Colorado, one inch represents 15 miles. How many miles do 3 4/5 inches represent?

• 19

• 49

• 57

• 60

• 77

Multiple Choice

The ratios of boys to girls in Mr. Owens math class is 3 to 5. If there are 10 girls in the class on a given day, how many boys are there in the class on that day?

• 16

• 6

• 15

• 3

• 17

​Probability

Multiple Choice

Darius has 200 marbles in a bag. Two marbles are purple, two are brown, and the rest are pink. What is the chance that Darius will pick a purple marble at random?

• 1/100

• 2/100

• 2/50

• 2/25

• 1/10

Multiple Choice

There are 22 students in the drama club. There are 5 freshmen, 5 sophomores, 6 juniors, and 6 seniors in the club. The club president cannot be a freshman. John Carlo, a senior, runs against 3 juniors for club president. What is the probability that he gets elected?

• 17/22

• 5/22

• 4/22

• 6/22

• 1/4