Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 7 Pretest regularly and improve your accuracy in solving questions.

Check What You Know

The table provides x coordinates. Complete the table with 2 sets of y coordinates. Then, complete the graph based on the table.

Question 1.  Explanation:
Add 1 and Add 3 to the given numbers in the table as shown in the above table,
then mark the points on the graph to plot the blue lines, as as shown in the above pictures.

Find the value of each expression.

Question 2.
a. (8 + 2) × 3 = _____________
30

Explanation:
As we know that,
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(8 + 2) × 3
= (10) × 3
= 30

b. (5 + 3) + (6 × 2) = ______________
20

Explanation:
As we know that,
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(5 + 3) + (6 × 2)
= (8) + (12)
= 20

Question 3.
a. [(3 × 2) – 1] – 2 = _____________
3

Explanation:
As we know that,
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Then calculate the numbers in parentheses.
[(3 × 2) – 1] – 2
= [(6) – 1] – 2
= 5 – 2
= 3

b. {[5 × (1 + 1) + 5] – 6} × 2 = _____________
18

Explanation:
As we know that,
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Then calculate the numbers in parentheses.
{[5 × (1 + 1) + 5] – 6} × 2
= {[5 × (2) + 5] – 6} × 2
= {10 + 5] – 6} × 2
= {15 – 6} × 2
= 9 x 2
= 18

Question 4.
a. [(6 × 4) – 4] ÷ 4 = _____________
5

Explanation:
As we know that,
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Then calculate the numbers in parentheses.
[(6 × 4) – 4] ÷ 4
= [24 – 4] ÷ 4
= 20 ÷ 4
= 5

b. (2 × 3) + (5 × 2) = ____________
16

Explanation:
As we know that,
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(2 × 3) + (5 × 2)
= (6) + (10)
= 16

Question 5.
a. 5 + 2 × 45 = ______________
95

Explanation:
According to the DMAS rule,
First Division, Multiplication, Addition, and at the end Subtraction.
5 + 2 × 45
= 5 + 2 × 45
= 5 + 90
= 95

b. 88 – 7 × 8 = _____________
32

Explanation:
According to the DMAS rule,
First Division, Multiplication, Addition, and at the end Subtraction.
88 – 7 × 8
= 88 – 7 × 8
= 88 – 56
= 32

Question 6.
a. 98 + (5 × 4) ÷ 2 = _____________
108

Explanation:
According to BODMAS rule,
the brackets have to be solved first then Division, Multiplication, Addition, and at the end Subtraction.
98 + (5 × 4) ÷ 2
= 98 + (5 × 4) ÷ 2
= 98 + (20) ÷ 2
= 98 + 10
= 108

b. (9 – 6) × 8 = _____________
24

Explanation:
According to BODMAS rule,
the brackets have to be solved first then Division, Multiplication, Addition, and at the end Subtraction.
(9 – 6) × 8
= 3 x 8
= 24

Question 7.
a. 43 + (9 × 2) = ____________
61

Explanation:
According to BODMAS rule,
the brackets have to be solved first then Division, Multiplication, Addition, and at the end Subtraction.
43 + (9 × 2)
= 43 + (9 × 2)
= 43 + 18
= 61

b. 66 ÷ (22 – 11) = ____________
6

Explanation:
According to BODMAS rule,
the brackets have to be solved first then Division, Multiplication, Addition, and at the end Subtraction.
66 ÷ (22 – 11)
= 66 ÷ (11) = 6

Write the expression for each phrase.

Question 8.
six more than the product of 2 and 3
6 + (2 x 3) =

Explanation:
Given,
six more than the product of 2 and 3
The product of 2 and 3 = 2 x 3 = 6
expression of  six more means 6 to be added to product of 2 x 3
6 + (2 x 3) = 6 + 6 = 12

Question 9.
eight divided by the sum of 3 and 1
8 ÷ (3 + 1)

Explanation:
Given,
eight divided by the sum of 3 and 1
The sum of 3 and 1 is 3 + 1 = 4
expression of eight divided by the sum of 3 and 1 is written  as
8 ÷ (3 + 1) = 8 ÷ 4 = 2

Question 10.
four more than the quotient of 25 divided by 5
4 + 25 ÷ 5

Explanation:
Given,
four more than the quotient of 25 divided by 5
The quotient of 25 divided by 5 is written as, 25 ÷ 5
expression of four more than the quotient of 25 divided by 5 is written as, 4 + 25 ÷ 5

Question 11.
the difference between 21 and the product of 3 and 4
21 – (3 x 4)

Explanation:
Given,
the difference between 21 and the product of 3 and 4
the product of 3 and 4 is written as, 3 x 4
expression of the difference between 21 and the product of 3 and 4
21 – (3 x 4)
= 21 – 12
= 9

Write the expression needed and solve each problem. Show your work.

Question 12.
Rachel bought a sandwich for $3.95, a bag of chips for$1 .50, and a drink for $1 .25. The tax was$0.47. She gave the cashier $10.00. How much change should Rachel receive? Expression: _____________ Rachel should receive _____________ in change. Answer: Expression:$10.00 – ($3.95 +$1.50 + $1.25 +$0.47) = $2.83 Rachel should receive$2.83 in change.

Explanation:
Rachel bought a sandwich for $3.95, a bag of chips for$1.50,
a drink for $1.25. First add all the three and the total to be subtracted from the$10.00 as below to get the change.
$10.00 – ($3.95 + $1.50 +$1.25 + $0.47) =$2.83

Question 13.
Ms. Garcia bought 3 packs of red notepads, 5 packs of yellow notepads, and 8 packs of green notepads. There were 3 notepads in each package. How many notepads did Ms. Garcia buy in all?
Expression: ______________