Order of Operations & Expressions
What is the value of the expression?
6 + (-4)3
-58
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir.
How many boys are in the choir?
75
A veterinarian examined 32 animals on Thursday. Of the animals she examined, 25% of them were dogs.
How many dogs did the veterinarian examine on Thursday?
8 dogs
The dimensions of a parallelogram are given in centimeters.
__________
/| /
/ | - 4.5 m / - 5.5 cm
/ |□ /
6 cm
What is the area of the parallelogram in square centimeters?
27 cm2
Kelli walks no more than 25 dogs on Mondays. Ms. Lincoln has 5 dogs that Kelli walks. The inequality shown can be used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln's dogs.
x + 5 ≤ 25
How many dogs can Kelli walk on Monday in addition to Ms. Lincoln's dogs?
x ≤ 20
Which expression is equivalent to 1,000+196?
F) 102 + 7(28)
G) 103 + 142
H) 1003 + 7(28)
J) 1002 + 142
G) 103 + 142
There are 63 dogs at a dog show. The ratio of the number of large dogs to the number of small dogs is 4:3.
How many dogs at the dog show are small dogs?
27
During a 90-minute school play, the main character was on stage 80% of the time.
What amount of time in minutes was the main character on stage?
72 minutes
The dimensions of a lawn shaped like a trapezoid are given in meters.
___12 m___
/ | \
/ |-4 m \ -5 m
/__□|____________\
18 m
What is the area of the lawn in square meters?
60m2
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.
What is the length of the third side of the triangle in units?
40 units
What is the simplified value of the expression?
(3p + 2)7
21p+14
Avery and Mason are both swimming laps in the same swimming pool.
- Avery can swim 3 laps in 2 minutes.
- Mason can swim 5 laps in 4 minutes.
Based on these rates, which statement is NOT true?
F) Avery can swim 6 laps in 4 minutes.
G) Mason can swim 2.5 laps in 2 minutes.
H) Avery can swim 2 laps farther than Mason in 8 minutes.
J) Mason can swim 0.5 laps farther than Avery in 2 minutes.
Out of 850 people in an art museum, 32% had an annual pass. How many of the people did NOT have an annual pass?
578 people
The dimensions of a rectangular prism are 4 cm for the length, 1.4 cm for the width, and 3 cm for the height. What is the volume of the rectangular prism in cubic centimeters?
16.8 cm3
An inequality is shown.
9w<108
What is the solution to this inequality?
w<12
Two expressions are shown. The second expression is not complete.
Expression I: 200r-(-110)
Expression II: _____ +200r
What number belongs in the blank so the expressions are equivalent?
110
Taylor and Raimi each earned an hourly wage. Taylor earns $308 for working 14 hours. Raimi earns $288 for working 12 hours. Which statement is true?
F) Taylor earns more per hour than Raimi.
G) Raimi earns more per hour than Taylor.
H) Raimi earns $26.80 per hour.
J) Taylor earns $21.34 per hour.
G) Raimi earns more per hour than Taylor.
There are crops growing on 29 acres of a 50-acre farm, as represented by the model.
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What percentage of the 50-acre farm has crops growing on it?
58%
The length of a rectangle is 7 inches, and the area of the rectangle is 199.5 square inches. What is the width of the rectangle in inches?
28.5 inches
The face of a clock is a circle with 12 equal sections.
A circle has 360 degrees. What is the value of the number of degrees in each section of the clock?
30
A numeric expression is shown.
52 - 6(42 - 10) - 3
What is the value of the expression?
-14
Below is listed the amount of sugar Felisha mixes with each amount of water she puts in her hummingbird feeder.
1/8 cup of sugar mixed with 1/2 cup of water
1/2 cup of sugar mixed with 2 cups of water
3/4 cup of sugar mixed with 3 cups of water
5/6 cup of sugar mixed with 3 1/3 cups of water
Based on the information in the table, how many cups of sugar should Felisha mix with 6 cups of water?
1 1/2 cups of sugar
Dennis made an extra $245 for selling furniture. The extra $245 was 7% of the total value of the furniture he sold.
What was the total value of the furniture Dennis sold?
A) $3,500
B) $171.50
C) $350
D) $1,715
A) $3,500
The dimensions of a rectangular prism are 3 ft for the length, 5 1/4 feet for the width, and 8 1/2 feet for the height.
What is the volume of rectangular prism in cubic feet?
133 7/8 ft3
Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car.
Which inequality represents all possible values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank?
F) m ≥ 484
G) m ≥ 316
H) m ≤ 484
J) m ≤ 316
J) m ≤ 316