Solve for Equations

Solve for y.
-10x + 2y = 14

• y = 10x + 12

• y = 10x + 7

• y = 5x + 14

• y = 5x + 7

Solve the equation 2x + w = 16 for x.

Solve for y:
y + 2 = 3x

• y = 2x + 3

• y= 3x +2

• y= 3x -2

• y= 6x

Solve for y:
3y -9 = 18x

• y = 6x - 3

• y = 2x - 3

• y = -6x + 3

• y = 6x + 3

Solve for a.

• a = pw

• a = p/w

• a = w/p

• a = w + p

Ever since Mary was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Mary's garden (in square feet), x, and the number of carrots she can grow at a time, y. The equation that models this relationship is y=5x. How many carrots can Mary grow at a time if her garden is 3 square feet?

• 5

• 15

• 10

• 20

Ever since Mary was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Mary's garden (in square feet), x, and the number of carrots she can grow at a time, y. The equation that models this relationship is y=5x. What size garden does Mary need to grow 20 carrots at a time?

• 5

• 20

• 4

• 22

Sara and her dad share an intense love of baseball. Every weekend, they go to the batting cages to practice hitting. Sara's dad buys tokens for her to use in the batting cage. There is a proportional relationship between the number of tokens Sara uses, x, and the number of pitches thrown by the pitching machine, y. If Sara uses 1 token in the batting cage, the pitching machine throws 6 pitches.

Write the equation for the relationship between x and y.

• y=6

• y=x

• y=6x

• y=1

Sara and her dad share an intense love of baseball. Every weekend, they go to the batting cages to practice hitting. Sara's dad buys tokens for her to use in the batting cage. There is a proportional relationship between the number of tokens Sara uses, x, and the number of pitches thrown by the pitching machine, y. If Sara uses 1 token in the batting cage, the pitching machine throws 6 pitches. The equation that models this relationship is y=6x. How many tokens does Riley use to get 12 pitches?

• 6

• 8

• 2

• 1

Sara and her dad share an intense love of baseball. Every weekend, they go to the batting cages to practice hitting. Sara's dad buys tokens for her to use in the batting cage. There is a proportional relationship between the number of tokens Sara uses, x, and the number of pitches thrown by the pitching machine, y. If Sara uses 1 token in the batting cage, the pitching machine throws 6 pitches. The equation that models this relationship is y=6x. How many pitches does the machine throw if Riley uses 3 tokens?

• 6

• 18

• 2

• 1