1.3: One and Two-Step Word Problems

Solve  5x + 7 = -13

• x=4
• x=-4
• x=5
• x=-5

Solve:
4 + ^k/₂ = -3

• 14
• -14
• 4
• -2

Suppose your grades on three science exams are 82, 94 and 89.  Which equation represents the score needed on the fourth exam if you want a 90% in the class?
*Hint: Average = sum of all numbers/number of numbers

• ^{(82 + 94 + 89)}/₃ = x
• ^{(82 + 94 + 89 + x)}/₄ = 90
• ^{(82 + 94 + 89)}/₃ + x = 90
• 4x + 82 + 89 + 94  = 90

Suppose your grades on three science exams are 82, 94 and 89.  What grade do you need on your next exam to have an average of 90?
*Hint: Average = sum of all numbers/number of numbers

• 90
• 95
• 88
• 98

A rental company at Best Bargain Rental costs $150, plus $0.10 per mile.  Which equation determines the number of miles (x) if the total cost was $360

• 360 = (150)(0.10x)
• 360 = 150 + 0.10x
• 360 = 150 + ^x/_0.10
• 360 = 150 - ^x/_0.10

A rental company at Best Bargain Rental costs $150, plus $0.10 per mile. How many miles have you traveled if the total cost was $360?

• 51 miles
• 210 miles
• 5100 miles
• 2100 miles

Identify the correct equation for the following:
Find the larger of two consecutive even integers whose sum is 126.  

• x + 2 = 126
• 2x - 1 = 126
• 2x + 2 = 126
• ^x/₂ - 2 = 126

Find the larger of two consecutive even integers whose sum is 126.  

• 64
• 61
• 62
• 66

The width of a rectangle is 6 cm, and the perimeter is 30 cm.  Which is the equation you would use to find the length of the rectangle?
*Hint: P = 2w + 2L

• ^w/₂ - 12 = 30
• 12 + 2w = 30
• 24w = 30
• 6w = 30

The width of a rectangle is 6 cm, and the perimeter is 30 cm.  What is the length of the rectangle?
*Hint: P = 2w + 2L

• 9
• 6
• 3
• 18