Number Sense
The temperature outside is -5°C. What does the negative sign tell you about the temperature?
the temperature is below zero
Sarah is making a fruit salad. She needs 1/3 cup of strawberries and 1/4 cup of blueberries. How many cups of fruit does she need in total?
7/12
Explain the order of operations. Use the acronym PEMDAS to help you.
Exponents
Multiplication & Division
Addition & Subtraction
Identify the coefficient, variable, and constant in the expression: 5x + 9
coefficient = 5
variable = x
constant = 9
Convert 0. 75 to a fraction in simplest form.
3/4
Give a real-world example of when you would use a negative number. Explain what zero represents in your example.
answers will vary
Emma has a ribbon that is 5 1/2 inches long. She cuts off a piece that is 2 1/4 inches long. How much ribbon does she have left?
3 1/4 inches
Simplify the following expression: 12 + (8 ÷ 2) x 3 - 5
19
Apply the associative property to write an equivalent expression for:
(2m + 5) + 3m
5m + 5
Convert 35 to a percent.
60%
The cost of a new phone decreased by $45.99. Write a rational number to represent this change in cost.
-$45.00
Jack is making pancakes. The recipe calls for 1/2 cup of milk. Jack wants to triple the recipe. Jack has 2 3/4 cups of milk. After tripling the recipe, how much milk will Jack have left over?
1 1/4 cups
Simplify the following expression: [(15 - 3) ÷ 4 + 2] x 5
25
Use the distributive property to write an equivalent expression for:
4(3x - 2)
12x - 8
Convert 1/8 to a decimal.
0.125
Describe a situation that could be represented by the numbers -10, 0, and 10. Explain what each number means in the situation.
answers will vary
Maria is making cookies. The recipe calls for 2 1/2 cups of flour and 1 1/2 cups of sugar. Maria wants to make half the recipe. How much flour and sugar will she need? Explain your reasoning.
1 1/4 cups of flour and 3/4 cup of sugar
List the factors of 18 and 24. What is the greatest common factor of 18 and 24?
18: 1, 2, 3, 6, 9, 18
24: 1, 2, 3, 4, 6, 8, 12, 24
GCF = 6
Combine like terms and apply the distributive property to write an equivalent expression for: 2(4a + a + 3a)
8a + 2a + 6a = 16a
Convert 125% to a decimal and a fraction.
1.25
1 1/4
Marco plays a game and records the change in his score. In Round 1, he increases his score by 5 points. In Round 2, he decreases his score by 3 points. If Marco started at 0 points, what is his score after Round 2? Explain how you arrived at your answer.
2 because 0 + 5 = 5 and 5 - 3 = 2
A carpenter is building a bookshelf. He needs 4 pieces of wood, each 2 3/4 feet long. He buys a 12-foot board. Will he have enough wood? If so, how much will he have left? Show your calculations and explain your answer.
Yes, he will have 1 foot left
List the first 5 multiples of 6 and 8. What is the least common multiple of 6 and 8?
6: 6, 12, 18, 24, 30
8: 8, 16, 24, 32, 40
LCM: 24
Determine if the following expressions are equivalent by substituting x = 2: 3(x + 5) and 3x + 5. Explain your answer.
Not equivalent because...
3 (2 + 5) = 21
3(2) + 5 = 11
Explain how to convert a fraction to a decimal. You must use math words (like denominator).
Divide the numerator by the denominator.