Inequalities
Jordan builds model cars. It takes more than 45 minutes to build one model.
If m represents the number of minutes, which inequality represents the time it takes Jordan to build a model?
a. m = 45
b. m < 45
c. m> 45
d. 45 > m
m> 45
Which expression is equivalent to “the third power of (10 − 6)”?
a. 43
b. 34
c. 103
d. 3(106)
a. 43
Which of the following is an equivalent expression for 6(y + 3)?
a. 6y + 3
b. 6y + 18
c. 9y + 6
d. y + 18
b. 6y + 18
What is the value of 6 + 24 x 3?
54
Kenny earns $12 mowing lawns each day. He mows lawns for 5 days and earns the same amount each day.
How much money does Jordan earn?
a. He would earn $60
b. He would earn $72
c. He would earn $17
d. He would earn $48
a. He would earn $60
If p represents a child’s age, which inequality shows that you must be younger than 11 to attend the camp?
a. p =11
b. p > 11
c. p < 11
c. p < 11
What is another way to describe the expression 4(a - b)^2?
a. The difference of 4 and the product of a and b.
b. The difference of a and b squared plus 4
c. The product of 4 and the difference of a and b.
d. The product of 4 and the square of the difference of a and b.
d. The product of 4 and the square of the difference of a and b.
Which expression is equivalent to 8 + 10x?
a. 18x
b. 5(2 + 2x)
c. 2(4 + 5x)
d. 8(1 + x)
c. 2(4 + 5x)
Solve:
2x2 + 4
when x = 3
22
Point A is located 2 units to the right, and 4 units up.
Write the ordered pair. (x, y).
(2, 4)
For an experiment conducted in a freezer, the temperature must be at least -10 degrees Celcius.
Complete the inequality:
t_____-10
t is less than or equal to -10
Which expression represents the following algebraic statement?
"Five times the sum of a number and 12"
a. 5x + 12
b. 5(x + 12)
c. x + 5 12
d. 12(x + 5)
b. 5(x + 12)
Which is an equivalent expression for
m + m + m + m?
A. m + m
B. 4m
C. m + 4
D. 3m
B. 4m
Solve:
(23 + 52) ÷3 x 4=
44
A cyclist was riding slowly and then increased her speed by 22 miles per hour to reach a top speed of 55 miles per hour. What was her initial speed?
a. 77 miles per hour
b. 33 miles per hour
c. 22 miles per hour
d. 55 miles per hour
b. 33 miles per hour
Select the three statements that are true.
a. -4 > -6
b. -6 < -5
c. -7 > -3
d. -9 < -5
e. -2 < -8
f.-6 > -1
a, b, d
Which expression represents the following algebraic statement?
"twice the difference of a number and 18"
A. 2(n - 18)
B. 2 × n − 18
C. n(2 × 18)
D. 2 × 18 − n
A. 2(n - 18)
Which expression is equivalent to 15 + 6x ?
A. 3(5 + 6x)
B. 2(7 + 3x)
C. 3(5 + 2x)
D. 21x
C. 3(5 + 2x)
What is the solution of the equation 84 = 1.2y?
Hint: do the opposite operation, what you do to one side you do to the other.
y = 70
An experiment has a mixture whose initial temperature was 8 degrees. During the experiment, the temperature of the mixture is lowered by 12 degrees. Which integer shows by how much the temperature of the mixture changed?
a. 12
b. -12
b. -12
Which inequality is correct?
a. -3 < -1
b. -1 < -3
c. -3 = -1
d. -6 < -4
a. -3 < -1
What is another way to describe the expression
4(x + y)2?
the sum of 4 and the product
of x and y
A.the sum of x and y squared plus 4
B.the product of 4 and the sum of x and y
C.the product of 4 and the square of the sum of x and y
D. the product of 4 and the square of the sum of x and y
D. the product of 4 and the square of the sum of x and y
Which number from the replacement set {3, 6, 12} makes the equation 2x+ 3 = 9 true? (plug in for x)?
A. None
B. x = 3
C. x = 6
D. x = 12
B. x = 3
Evaluate the expression when x = 2 and y = 6
(x2 + y2 ) ÷ 5
8
In a class, 30% of the students prefer oranges for breakfast. If there are 40 students in the class, how many students prefer oranges?
a. 30
b. 20
c. 12
d. 10
c. 12