Solve
Ratios and Rates
Exponents
Domain and Range
Systems of Equations
200

Solve: 9.8+6.7

14.5

200

Simplify the ratio to the lowest term: 20:76

5:19

200

What is the value of 101?

10

200

What is the definition of a domain?

The set of numbers that are accepted as an input value

200

x+y=10

x=4

What are the values of x and y?

x=4, y=6

400

Solve: 15*16

240

400

5 pencils cost $2.50, how much do 12 pencils cost?

$6.00

400

What is 3-3?

1/27

400

What is the domain of the graph of y=x?

(-inf, inf)

400

2x+3y=12

4x−3y=6

Solve for x and y 

x = 3 

y = 2

600

Solve: (8+(32-4)*23)/(5-[6-(2+3)2])

2

600

A juice blend is made by mixing orange juice and pineapple juice in a ratio of 3:2. You have 15 liters of orange juice. What is the total amount of juice?

25 liters

600

Simplify the expression: (a2b3)2

a4b6

600

What is the range of the graph y = 2x?

(0, inf)

600

A fruit seller sells apples and oranges. Apples cost $2 each, and oranges cost $3 each. If a customer buys a total of 7 fruits and spends exactly $17, how many apples and oranges did the customer buy?

4 apples

3 oranges

800

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1

800

A train leaves City A heading toward City B at 60 mph. Two hours later, a second train leaves City A heading toward City B on a parallel track at 90 mph.

How long after the second train departs will it catch up to the first train, and how far from City A will they meet?

4 hours, 360 miles

800

Solve (42*4-3)/(3-2)

9/4

800

What is the domain of the graph y=√ (16-x2)?

[-4,4]

800

1/2x+1/3y=3

1/4x−1/6y=1

Solve for x and y 

x = 5

y = 3/2

1000

(3+2i)/[x-(1-4i)] = 2+i

x = 13/5 - 19/5 (i)

1000

Two trains start at the same time from cities 500 miles apart, heading toward each other on parallel tracks. Train A travels at 60 mph and Train B travels at 80 mph, but stops for 30 minutes once during the trip. How long after they start will the trains meet, and how far from Train A’s city will the meeting occur?

3.86 hours, 231.4 miles

1000

Simplify (x2y-3 * x-4y0)(z1/2 * z3/2)

(z2)/(x2y3)

1000

Find the domain and range of the equation: y = (x2-4)/(x2+1)

Domain: (-inf, inf) 

Range: (-inf, 1) U (1, inf)

1000

x+y+z=6

2x−y+3z=14

−x+4y−z=−2

Solve for x,y,z

x = 0.8

y = 0.8

z = 4.4

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