Equations
Inequalities
Probabilities
Percentages
Ratios and Proportions
100

Solve:  3x-8=-14

x=-2

100

Solve:  2y-3>-11

y>-4

100

You roll a 6-sided die.  What is P(1 or odd number)?  Write your probability as a fraction.  Reduce the fraction.

1/2

100

Convert the decimal into a percentage.

17/25=

68%

100

Reduce the fraction.  Write the fraction in simplest terms.

8/12=

2/3

200

Solve:  -5y+2=-18

y=4

200

Solve:  5x+1<41

x<8

200

You spin the spinner once.  The spinner is equally divided between four numbers, 1, 2, 3, and 4.

What is P(odd or less than 3)?  Write your probability as a decimal.

0.75

200

Austin is purchasing a new pair of sneakers.  Tax costs $6.58.  The cost of the sneakers before tax is $94.  What is the tax rate (percentage)? 

7%

200

Find x.


10/6=x/9

x=15

300

Solve:  -w-3=-13

w=10

300

Solve:  -4m-10>-6

m<-1

300

There are 5 cards in your hand.  There is a 4, 5, 6, 7, and 9.  

What is the probability of selecting either 6 or an even number?  Write the probability as a percentage.

40%

300

The cost of a new hoodie is $40.  If the tax rate is 8%, then what is the cost of the tax?


Note:  Money is always rounded to the nearest hundredths place.

$3.20

300

The blueprint of a house has been used to determine the measurements of the actual house.  The scale provided on the blueprint says that 2 inches of the pictures represents 5 feet of actual house.  If the family room is drawn on the blueprint as 6 inches wide, then how wide is the actual family room.

15 feet

400

Solve:  m/3-10=-6

t=12

400

Solve:  k/2+7>-1

k>-16

400

You roll a 6-sided die.

What is the probability of the die landing on an even number or less than 2?  Write the probability as a reduced fraction and a decimal.

2/3=0.6 (repeating)

400

The Smith family went out to dinner and spent $79, just on food and drinks.  They plan to tip their server 18% of their bill.  How much money will they spend total on their meal with gratuity?

Note:  Money is always rounded to the nearest hundredths place.

$93.22

400

The scale of a rare Mustang convertible to the actual Mustang is 3 centimeters to 2 feet. If the actual Mustang is about about 14 feet long, then how long should the model Mustang be in centimeters?

21 centimeters

500

Painted Pots lets customers choose and paint their own pottery.  The store has teapots in multiple sizes.  Rebecca chose to paint the largest teapot offered, which cost $18.  She also painted 4 small teacups to go with her teapot.  Rebecca spent a total of $42 on pottery.

Write and solve an algebraic equation, to find c, the cost of each teacup.

Equation:  4c+18=42


Solution:  Each teacup costed $6.

500

The Color Crate Exchange Company sends a new art activity in the mail each month.  Nora got a $78 gift card for her birthday to pay for some monthly subscriptions.  She signed up during their spring sale and received $12 off the total cost.  If each subscription is $15 per month, at most, how many subscriptions, s, could she buy?


Write and solve an inequality.

s<6

500

A spinner is divided evenly among 10 colors.  Some of the colors have multiple sections.

Red, Red, Green, Blue, Purple, Pink, Orange, Yellow, Pink, Red

What is the probability of spinning the spinner and it lands on either yellow or pink?  Write the probability as a fraction, decimal, and percent.

3/10=0.3=30%

500

The Ryder family is going on a trip to Hawaii.  They purchased 4 roundtrip tickets to fly from Buffalo to Hawaii for $512 each.  The tax charged is 7.5%.  What is the total cost of 4 tickets with tax?

Note:  Money is always rounded to the nearest hundredths place.

$2,201.60

500

A drawing was made of a rectangular garden.  The scale claims that 1 inch of the diagram represents 3 yards of the garden. In the picture, the length of the rectangle is 7 inches long and the width is 4 inches wide.

What is the area of the actual garden in square yards?

252 square yards

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