Math 7 Common Assessment - Number Sense

Michelle has 15 3/4 cups of flour in a container. She uses 2 1/4 cups of flour to make a loaf of bread. Michelle has _____ cups of flour left in the container.

Mathematical Equivalence

ON

Answer explanation

Michelle starts with 15 3/4 cups of flour. After using 2 1/4 cups, she has 15 3/4 - 2 1/4 = 13 1/2 cups left. Thus, the correct answer is 13 1/2 cups.

Sarah has 18 2/3 cups of sugar in a jar. She uses 4 1/6 cups of sugar to bake some cookies. How much sugar does Sarah have left in the jar?

• 14 1/2 cups

• 13 1/2 cups

• 15 1/2 cups

• 12 1/2 cups

Answer explanation

To find out how much sugar Sarah has left, subtract 4 1/6 from 18 2/3. First, convert both to improper fractions: 18 2/3 = 56/3 and 4 1/6 = 25/6. Then, find a common denominator (6) and perform the subtraction: (56/3) - (25/6) = 14 1/2.

Michelle bought five packs of crayons for $13.75. What is the cost of a pack of crayons, in dollars, if all the packs cost the same?

• $2.75

• $2.50

• $3.00

• $2.25

Answer explanation

To find the cost of one pack of crayons, divide the total cost by the number of packs: $13.75 ÷ 5 = $2.75. Therefore, the cost of a pack of crayons is $2.75.

Which number-line model represents the sum of 1.25 + (–0.75)?

• Number line A

• Number line B

• Number line C

• Number line D

Answer explanation

To find 1.25 + (–0.75), start at 1.25 on the number line and move 0.75 units to the left. This lands you at 0.50, which is correctly represented in Number line B.

What is the decimal equivalent of 9/12?

• 0.75

• 0.5

• 0.9

• 1.2

Answer explanation

To convert 9/12 to decimal, divide 9 by 12. This equals 0.75. Therefore, the correct answer is 0.75.

Which of the following expressions is equal to 8(2.25 - 4.25b)?

• -34b + 18

• 34b - 18

• -18b + 18

• 18b - 18

Answer explanation

To simplify 8(2.25 - 4.25b), distribute 8: 8 * 2.25 - 8 * 4.25b = 18 - 34b. Thus, the expression equals -34b + 18, which matches the correct choice.

Sara poured 3⁄4 of the juice from a 2-liter bottle while serving guests at a party. How much juice, in liters, is still left in the bottle?

• 0.5 liters

• 0.25 liters

• 1 liter

• 0.75 liters

Answer explanation

Sara poured 3/4 of 2 liters, which is 1.5 liters. Therefore, 2 - 1.5 = 0.5 liters of juice is left in the bottle. The correct answer is 0.5 liters.

Select all the expressions that show the distance between points A and B on the number line.

• |A - B|

• |B - A|

• A + B

• A - B

Answer explanation

The expressions |A - B| and |B - A| both represent the absolute distance between points A and B on a number line. A + B and A - B do not represent distance, as they can yield negative values or sums.

Which of the following expressions is equivalent to 8 - 1?

• 8 - 1

• -1 - (-8)

• -8 + (-1)

• | -8 | - | -1 |

Answer explanation

The expression 8 - 1 is already in its simplest form. The other options do not simplify to 7, which is the result of 8 - 1. Therefore, the correct choice is 8 - 1.

Answer explanation

To solve \( \frac{5}{6} + \left( -\frac{4}{9} \right) - (-2) \), first convert \(-2\) to \(\frac{-4}{2}\) and find a common denominator. The result simplifies to \(\frac{37}{18}\), which is the correct answer.