Expressions & Equations
What is the value of 4 1/2 (5 + 9)
63
Convert 3/12 to an equivalent decimal.
0.25
An electric car battery, when fully charged, can travel 360 miles. The car uses 98 miles of charge on a drive.
What is the percentage (rounded to the nearest hundredth) of miles the car has left in battery charge?
72.78%
A horizontal slice is made parallel to the base of the cube.
Which two-dimensional figure can be formed by this slice?
Square
Which of the following are samples of a population?
A. Recording the income of all residents in a city for a government report.
B. Using a software program to select names from a participant database?
C. Measuring the height of every player on a sports team.
D. Polling voters at select locations chosen from across the city.
A nursery was charging $5.05 for a small succulent but raised the price 18%. The new price after the increase is $5.96. What is an expression to show how the new price was calculated?
5.05 × 1.18
Does this situation involve combing opposite quantities to make zero?
A mountain climber ascends 110 meters, then descends 240 meters.
No.
Robert is packing donation boxes for a charity event. He packs 6 boxes in 15 minutes.
How many donation boxes will Robert pack in 120 minutes?
48
A circle has a radius of 45.4 centimeters. What is the circumference, in centimeters, of the circle rounded to the nearest hundredth?
~285.11
The table shows the outcomes of a spinner with 3 equal sections colored blue, orange, and purple.
Blue: 40
Orange: 80
Purple: 80
Based on the outcomes, what is the estimated probability of the spinner landing on purple? (Fraction)
80/200 or 2/5
What is the value of x?
-7/8x - 1 = 13
-16
Simplify the equation.
19 ➗ 1 - 17 + (-20)
-18
A theme park ticket is originally priced at $120. Later the theme park ticket's price is discounted to $78.
What is the percent of the discount for the adjusted cost of the theme park ticket?
35%
A rectangle has a base of 16 ft. and a height of 15 ft.
The rectangle is enlarged by a scale factor of 2.
What is the perimeter of the new rectangle?
124 ft.
The owner of a busy coffee shop keeps track of the 185 drinks ordered in the day. There were 89 sweet teas, 56 green tea lattes, and 40 chocolate milks.
What results can the coffee shop owner expect for each drink if 740 drinks are ordered?
Sweet Tea: 356
Green Tea Lattes: 224
Chocolate Milk: 160
Alyssa places 9 daffodils and 14 gardenias in a bouquet. If daffodils cost x and gardenias cost y, what expression represents the cost of 10 bouquets?
10(9x + 14y)
What is the difference, in points, between the second game (1 2/3 points) and the fourth game (4 1/3 points)?
2 2/3 points
A snack mix recipe calls for 2 1/2 cups of chips and 1/4 cup of dip.
Chloe wants to make the same recipe using 1 cup of dip. How many cups of chips will Chloe need?
10
The dimensions of a scale drawing of a parking lot are 9 inches by 4 inches. The length of the longer side of the actual parking lot is 45 feet.
What is the area, in square feet, of the actual parking lot?
900
A spinner has 6 sections that are the same size and each section is labeled with a letter.
E, E, B, D, E, C
What is the probability that the arrow will stop in a section labeled with the letter B?
1/6
Simplify the expression: 5g − (4g + 15) + 5g?
6g + 15
Max is in charge of bringing bottled water to a party that has 34 guests. Bottled water is sold in packs of 18 and each pack costs $12.96.
Part A: What is the total number of packs of water Max will need to bring to the party if each guest is to have 2 bottles of water.
Part B: What is the total cost, in dollars, Max will spend on bottled water for the party?
Part A: 4 packs
Part B: $51.84
At a community garden, three volunteers work together to harvest 57 pounds of wheat. The number of hours each person worked is shown.
Volunteer A: 7 hours | Volunteer B: 4 hours | Volunteer C: 8 hours.
The amount of wheat each volunteer harvested is proportional to how many hours they worked.
How many pounds of wheat did Volunteer B harvest?
12
Angle ADC is a right angle. Ray DB has an end point at D.
Angle ADB measures 8x. Angle BDC measures 4x + 30.
Part A: what is the value of x?
Part B: what is the measurement of angle BDC, in degrees?
Part A: 5
Part B: 50
A baker sells cookies and wants to estimate how many cookies will be sold this month. Last week the baker recorded cookie sales for the week.
Red Velvet: 41
Sugar: 99
White Chocolate Macadamia Nut: 67
Using the information above, determine which estimate best represents the number of times each cookie is likely to be sold in a month.
A. 280 red velvet, 170 sugar, 420 white chocolate macadamia nut
B. 170 red velvet, 420 sugar, 280 white chocolate macadamia nut
C. 340 red velvet, 800 sugar, 600 white chocolate macadamia nut
D. 420 red velvet, 280 sugar, 170 white chocolate macadamia nut
B. 170 red velvet, 420 sugar, 280 white chocolate macadamia nut
(164 red velvet, 396 sugar, 268 white chocolate macadamia nut)