Lesson 1.2: Problem Solving Answers

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1
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Armando bought 45 baseball cards. Of the 12 friends he invited to his cookout, half of them were able to attend. Armando gave each of his friends at the cookout the same number of baseball cards and had 3 cards left for himself. How many baseball cards did each friend receive?

A
3 baseball cards
B
7 baseball cards
C
9 baseball cards
D
10 baseball cards
2
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The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the width of the rectangle in feet, which equation can be used to find its value?

A
3x + x = 16
B
(3x)(x) = 16
C
3x + 3x + x + x = 16
D
3x + 3x + x = 16
3

Two times a number plus four is 22. What is the number?

A
2
B
6
C
9
D
11
4

In seven years, Huang will be two times as old as he was last year. How old is he now?

A
5 years old
B
8 years old
C
9 years old
D
14 years old
5

Six times a number is at least four less than eight times the number. If x represents the number, which will help find the number?

A
6 x less than 8 x minus 4
Option A
B
6 x less-than-or-equal-to 8 x minus 4
Option B
C
6 x greater-than-or-equal-to 8 x minus 4
Option C
D
6 x greater-than 8 x minus 4
Option D
6

Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?

A
x + 6 + 32 = 75
B
x + 6 = 32
C
One-half x + 6 + 32 = 75
Option C
D
One-half x + 32 = 75
Option D
7

Read the word problem below.Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current? Which of the following is a clue that would help solve this word problem?

A
The rate of Chan’s rowing in still water is 8 mph.
B
Chan rows from the house to the park on Wednesday.
C
Chan’s house is next to a river.
D
The entire trip takes five hours.
8

For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. Which equation can be used to find c, the number of student tickets sold?

A
10(512 – c) + 5c = 512
B
10(512 – c) + 5c = 3,570
C
5(512 – c) + 10c = 3,570
D
5(512 – c) + 10c = 512
9

Read the word problem below.Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also bought a T-shirt that was $8 off its regular price. Before sales tax, the total cost of the clothes was $31. What was the regular price of the T-shirt? What question is being asked in this word problem?

A
What is the regular price of the skirt?
B
How much money does Jill have left?
C
How much does the T-shirt normally cost?
D
What is the amount Jill pays in sales tax?
10

Sorrel has 54 beads, and 16 of them are red. Of the remaining beads, half are yellow and half are green. How many yellow beads does she have?

A
16 beads
B
19 beads
C
38 beads
D
70 beads

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