Solving Equations and Inequalities

The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write and solve an equation to find the number of students in the art class. Let x represent the number of students in the art class

• 4x+9=101, x=27.5

• 9x+4=101, x=11

• 4x+9=101, x=23

Solve for y: -4(8+y)=90

(Just provide the numerical answer. If needed, round to the nearest hundredth.)

• x=5.65

• x=11.00

• x=14.29

• x=42.50

• n=1

• n=4

• n=8

• n=16

Carson’s wheelbarrow can hold 345 pounds. If he has 121 pounds of rock in the wheelbarrow, what number of pounds, p, can he put in the wheelbarrow without going

over the weight limit? (Choose all that apply)

• 224

• 206

• 253

• 324

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles? Which equation represents this situation?

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?

x = 20

• x = 20

• x = 7

• x = 10

• x = 3

What would be the best first step to solving the equation?

• multiply both sides by 3

• multiply both sides by 4

• divide both sides by 3

• divide both sides by 4

• A
• B
• C
• D