Linear Equations (A1.1.2.1.1, A1.1.2.1.2, A1.1.2.1.3)

What is the solution to the equation 4a - 3 = 21

• a = -6

• a = -4

• a = 4

• a = 6

What is the solution to the equation -42 = - 5b + 8

• b = -10

• b = -7

• b = 7

• b = 10

What value of c makes the equation true?

4c - 12 = 8c + 28

• c = -10

• c = -7

• c = -4

• c = -3

What value of d makes the equation true?

2 (3d - 7) = 4d + 22

• d = -36

• d = -18

• d = 18

• d = 36

A family traveled  450 miles in h hours. If the trucker averaged 50 mph, which linear equation could be used to find the number of hours the family drove?

• 450 = 50 + h

• 450 = 50 - h

• 450 = 50h

A tree was 6 feet tall when it was planted. It grows 3 feet a year. Which equation could be solved to find how many years the tree will take to grow to a height of 18 feet?

• 3x + 6 = 18

• 6x + 3 = 18

Joshua $300. spent $300 on a carpet. The price is $5.20 per square foot. If Pedro had a special discount coupon for $75 off, which linear equation could be used to find the area, A, of the carpet?

• 75 = 5.20A + 300

• 300 = 5.20A + 75

• 300 = 5.20A - 75

• 300 = 75A - 5.20

Sarah opened a savings account with P dollars. The savings account earned 4% simple interest per year. She made no withdrawals or any other deposits until a year later, when she made a deposit of $200. Which equation below represents how much money was in the savings account right before she made the deposit?

• A = P + 0.3P + 200

• A = 0.04P + 200

• A = 4P + 200

• A = 1.04P + 200

Pedro has $1.25 in quarters, q, and dimes, d, in his pocket.  Which equation could be solved to find the possible combinations of quarters and dimes Pedro has?

• 125 = 25q x 10d

• 125 = 25q + 10d

• 125 = q + d

• 125 = qd

Mrs. Peterson bought x adult tickets and y children’s tickets to an ice-skating show. She spent a total of $250. The equation    45x + 20y = 250    describes the relationship between x and y. The ordered pair (2, 8) is a solution to the equation? What does the solution (2, 8) represent?

• Mrs. Peterson bought 2 adult tickets and 8 children’s tickets.

• Adult tickets cost $2 each and children’s tickets cost $8 each.

• Mrs. Peterson spent $2 on adult tickets and $8 on children’s tickets.

• The cost of 2 adult tickets equals the cost of 8 children’s tickets.