Operation Real Numbers
Solving Linear Equations
Solving Equations
Variables Both Sides
Literal Equations
Solving Inequalites
100

The subset of the real number system to which the number 1.5 belongs is

What is rational Numbers

100

What is the value of x in the equation 

4x - 2(x +3) = 8 

What is 7

100

What is the solution to equation

 4x + 2(x - 5) = 3(2x -4)

What are no solutions

100

Solve the equation a = m - n for the variable n

a. n = a+ m

b. n = a - m

c. n = m - a

d. n = -m - a


What is b n = a -m

100

Solve the inequality -2(3x - 1) < 8

What is x > -1

200

Which of the following could be a rational number?

a. the sum of two irrational number

b. the product of two irrational numbers

c. the sum of an irrational number and a rational number

What is b the product of two irrational numbers

200

Six friend all us $2-off coupons to buy themselves movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?

What is $9

200

Cranberry juice costs $6.30 per quart and apple juice cost $3.60 per quart. Terrence wants to make a mixture of apple and cranberry juice that sells for $4.50 per quart. How many quarts q of cranberry juice should be mixed with 4 quarts of apple juice to make cranberry-apple juice at that price? What equation represents the situation?

6.30q + 14.40 = 4.50(q + 4)

200

Deon plans to ride a 15-mi bicycle trail. If his average speed is 20 mph which equation can he use to find time t, in hours for the ride?

a. t =  20 * 15

b. t = 20/15

c. t = 20 -15

d. t = 15/20


What is d t = 15/20

200

Solve the inequality (3x - 2) + 1 ≥ x + 2(x + 2)

What is no solution

300

Which is in Sat A ={-7,-4,2,14,21,34,42}are elements of both Set B and Set C?

Set B = {even numbers Set C} = {multiples of 7}

What are 14 and 42

300

The sum of two consecutive even integers is is 76. What are the integers

What are 37 and 39

300

What is the value of x in the equation 

3/2(4x - 1) - 3x = 5/4 - (x + 2)

What is x = 3/16 or 3/16

300

In Physics the ideal Gas Law describes is PV = nRT.

Which formula are equivalent?

a. P = VnRT

b. V= (nRT)/p

c. n = (PV)/(RT)

d. R = PVnT


What are b and c

300

What is the solution of -3(x + 1) ≤ 6

What is x ≤ -3

400

What is the correct order of the numbers from least to greatest

√5, 5/3 , 2.5, √9/4

What is √9/4, 5/3, √5, 2.5

400

A scientist needs 10 liters of a 20% acid solution for and experiment, but she has only a 5% solution and a 40% solution. What is the equation for this problem and to the nearest tenth how much of the 5% solution and 10% solution does she need?

What is (0.20)(10) = 0.05x + 0.40(10-x)


What are 5.7 liters of 5% and 4.3 liters of 40%

400

Which of the equations shown have infinitely many solutions

a. 3x - 1 = 3x + 1

b. 3(x - 1) = 3x - 3

c. 2x - 1 = 1 - 2x

d. 2x + 2 = 2(x + 1)


What are b and d

400

The formula for volume of a cylinder is V= πr²h. r=radius and h equals height. Write a formula for h and then find the height if a cylinder has a volume of 36πcm² and a radius of 3 cm

h= V/( πr²)

h= 4 cm

400

Solve the inequality 2x - (3 - x) > x + 1

What is x >  2

500

Without simplifying, determine which of the following represent a rational number. Select all that apply

a. 42/3 +  √3

b.  42/3 -  √4

c.  42/3 * √3

d. 42/3 ÷ √4

What is b and d

500

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. What is equation for this situation based on the cost of pistachios? How much do the Pistachios and Almond each cost?

What is 2p +3(p - 4) + = 48

What are $12 for the pistachios and $8 for the almonds

500

Tonya's dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charge $5 per mile that each dog is walked. What is the equation used to determine for the numbers of miles for which Tonya and Beth would charge the same amount. What is number of miles for which the services cost the same?

What is 20 + 3m = 5m

What is 10 miles

500

The temperature in degrees Kelvin is 273 degrees more than the temperature Celsius. Use the formula C=9/5(F - 32) to write a formula for the temperature in degrees Fahrenheit F in terms of degrees Kelvin K

F = 9/5(K-273) + 32

500

A video streaming company offers two monthly plans

Plan A: $ 3 per video viewed, plus a flat rate $ 8 per month

Plan B: $5 per video viewed and no additional flat rate

Write an inequality that to determine when viewing n video using Plan A is cheaper than using Plan B

How many videos must be viewed


What is 3n + 8 < 5n

What is n > 4

M
e
n
u