Nelson Math SICA Practice

Enter the value of x that makes the equation true. 6/x = 12/3

• x = 1.5 or x = 3/2

• x = 2

• x = 6

• x = 12

Select the expression that is equivalent to 2(x − 3)²

• 2(x² + 9)

• 2x² − 12x + 18

• 4x² − 36

• 2x² − 36x + 9

Solve the inequality for x. 3(4 − 2x) ≥ 15

• t ≤ -0.5

• t ≥ 1.25

• t ≤ 2.5

• t ≥ -2

Julie and Tim are both cable subscribers. Julie pays $70 per month plus an additional $4.25 for each movie she orders. Tim pays $49.50 per month plus an additional $5.50 for each movie he orders. Last month Julie ordered 12 movies. Enter the number of movies Tim would need to order for their monthly price to be the same.

• m = 10

• m = 12

• m = 13

• m = 15

Jacob buys tickets that can be used for car washes. The total cost, c, depends on how many tickets for car washes, t, he buys. Select the average cost per car wash for Jacob when he buys 5 tickets.

• $6.50

• $6.75

• $7.00

• $8.00

Thomas is writing a report about the graduation rate of seniors at the local high schools. In 2012, he collected the following information: • 227 seniors graduated from Westville High School. • 112 seniors graduated at Centerville High School. Select all additional information Thomas should obtain in order to determine the high school graduation rate.

• the total number of students at Centerville High School

• the total number of students at Westville High School

• the total number of seniors at Centerville High School

• the total number of seniors at Westville High School

• No additional information is needed.

There are 221 students on a field trip. Five students ride in a van. The rest of the students fill 6 buses. Which equation can be solved to find the number of students, s, that are on each bus?

• 6s = 221

• 6s = 221 - 5

• s = 221 - 5

• s = 221 / 6

There are 221 students on a field trip. Five students ride in a van. The rest of the students fill 6 buses. How many students are on each bus?

• 36

• 38

• 40

• 36.5

Andrea says that a system of two linear equations must have at least one solution as long as the lines have different y-intercepts. For example, the equations y = 2x + 4 and y = 4x - 6 have different y-intercepts and have a solution at (5, 14). Select the pair of linear equations that can be used to disprove Andrea’s claim.

• A. y = -2/3x + 4 and y = 3/2x - 4

• B. y - 2x = 4 and 4y - 8x = 16

• C. y + 4x = 1 and y + 4x = 3

• D. y = 5/3x + 3/5 and y = 3/5x + 5/3