H. Math 8 Linear Equations Test Review | Baamboozle - Baamboozle

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Translate and solve: ten subtracted from the product of a number and negative three is twenty-nine.

n=-13

x=-15

The length of a rectangle is 8 feet less than three times its width. If the perimeter of the rectangle is 44 square feet, find its dimensions.

10 feet by 12 feet

Translate and solve: the difference between a number and nine, divided by four is negative seven.

n=-19

Sam and Ryan are playing a video game. Ryan has scored ten more than twice the number of points than Sam has. If they scored 145 points altogether, how many points did each boy score?

45 and 100 points

z=10

b = -12/5 or -2 2/5 or 2.4

x=18

The sum of two numbers is 86. The larger number is nine less than four times the smaller number. Find both numbers.

19 and 67

n=-27

You burn approximately 305 calories per hour riding a bike and approximately 535 calories per hour running.

After 4 terms, the number of students in dance will equal the number of students in choir. The number of students in each class will be 96.

Find three consecutive odd integers with a sum of 141.

45, 47, 49

A square has side lengths 3x + 35 and 9x - 19. Find the perimeter.

P = 248 units

The first of two films lasted 3 minutes less than twice as long as the second. Together the two films lasted 147 minutes. How long was each film?

50 and 97 minutes

x=9

If the perimeter of the rectangle is 74 inches, find the length of each side.

12 inches by 25 inches

x = -9

Find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

28, 30, 32, 34

11 months

all real numbers

no solution

A bagel has 50 more calories than twice the calories of a yogurt cup. If 4 bagels have the same total calories as 9 yogurt cups, find the calories in each item.

Yogurt cup = 200, Bagel = 450

x=7

Find four consecutive integers with a sum of 82.

19, 20, 21, 22

y = -15

all real numbers

Find three consecutive integers such that the third is equal to 15 less than the sum of the first and second.

16, 17, 18

b=8

x=7