Integers & Number Lines
What is the sum: 1.5 + (−4.5)?
-3
What is 25/40 written as a decimal?
0.625
In the equation t = 4n (t = total cost for n notebooks), what is the constant of proportionality?
4
Convert 25/40 to a decimal
0.625
Which expressions are equivalent to −3/5? Choose 2 correct forms from: 3/−5 ; −3/5 ; 3/5 ; −(3/−5) ; −(−3/5).
3/-5 -3/5
/-2.5-1/
Compute: −3 − (1 1/9 ÷ 2/5). Give your answer as an improper fraction or mixed number.
-5 7/9
If a jogger runs 12 laps in 20 minutes, write an equation l = k·t that models laps l in minutes t. What is k?
A customer orders 2 hot dogs, 1 slice of pizza, and 1 drink. Prices: hot dog $3.25, pizza $3.00, drink $2.50. If sales tax is 6.5%, how much does the customer pay total after tax? Round to the nearest cent.(18)
$12.78
Compute: −7.5(−15.5 ÷ 2.5). Show steps.
46.5
A temperature decreases by 5/4 degrees and then increases by 2/3 degrees. What is the net change? Write your answer as a fraction.
-7/12
A carpenter has 3/4 meter of wood. If he cuts it into 5 equal sections, how long is each section?
3/20
A graph of grams of flour vs cupcakes passes through (5, 96). What is the unit rate (grams per cupcake)?(#24)
19.2
A student earns $51 babysitting and then spends $50 on school supplies. Which equation models the money left and what is the result?(10)
51-50=1
Simplify: −21.5 + 15(17 ÷ −0.5). Show each step.
-531.5
A hiker ascends 8/7 meters and then descends 8/7 meters. Write an equation that models the overall change and compute the result.
8/7-8/7
A machine produces 3/4 pound of dough every 1/3 hour. At this rate, how many pounds does it produce per hour?
9/4
The table shows apples x (kg): 3, 6, 9 and cost y ($): 15.75, 31.50, 47.25. Is the relationship proportional? Explain using the ratio y/x or the unit rate.(#12)
D
A store offers a 10% discount. A refrigerator is $1,600 and a dishwasher is $400. What is the total cost after the discount (before sales tax)?(30)
1800
Determine which of these equations are true (justify your choices):
b c
−3 + 1/9
Evaluate (8 1/3) ÷ (5/3)
2
A recipe that makes 36 smoothies uses 2 1/2 cups almond milk for 2/3 cup berries. How many cups almond milk are needed for exactly 2 2/3 cups of berries?(11)
30cups
A baker has 3 1/4 cups of flour, uses 1 3/4 cups in a recipe, then buys 7 1/2 cups more. How many total cups of flour does the baker have now?(14)
9 cups
A student’s steps for simplifying −21.5 + 15(17 ÷ −0.5) are shown; the student’s final result is −488.5. Identify whether any step is incorrect; if so, state which step and why.
pemdas