Evaluate 48 ÷ (22)
What is the Prime Factorization of 90?
2 32
5
An equation is shown.
−12x = 54
Which number line best represents the solution to the equation?
A
B
C
D
An inequality is shown.
14 ≤ −3x
Which number line best represents the solution to the inequality?
A
B
C
D
Tommy was going to ride his bike in a race. He could travel 20 miles in 1 hour. If he continues at this speed, how many miles can he travel in 3.5 hours?
70
33 + 4(8-5) / 6
29
Which is the prime factorization of 220?
A 22 5
11
B 2 10
11
C 2 52
11
D 22 55
22 5
11
There were 31 people on a bus after 4 people got off the bus. Which equation can be used to find x, the total number of people on the bus before 4 people got off?
A = 31
B 4x = 31
C x − 4 = 31
D x + 4 = 31
C x − 4 = 31
Maria has 15 dollars that she can spend at the movies. A movie ticket costs 7 dollars. Which inequality represents the greatest amount of money, f, Maria can spend on food and drinks?
A f + 7 > 15
B f + 7 ≤ 15
C f + 7 < 15
D f + 7 ≥ 15
f + 7 ≤ 15
A certain type of brass contains 65% copper. How many pounds of copper are contained in 120 pounds of the brass?
78
What is the value of the expression shown?
6 + (−4)3
-58
List the prime numbers up to 40
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
After 4 new students joined a class, the class had 32 students.
Which equation can be used to find n, the number of students in the class before the 4 new students joined?
A = 32
B n 4 = 32
C 4n = 32
D n + 4 = 32
n + 4 = 32
Frank has a goal of saving $50 for a concert ticket. He saves $5 per week. Which inequality can Frank use to determine t, the number of weeks Frank should save in order to meet or exceed his goal?
A 5t ≥ 50
B 5t ≤ 50
C t + 5 ≥ 50
D t + 5 ≤ 50
5t ≥ 50
Out of 850 people in an art museum, 32% had an annual pass. How many of the people did NOT have an annual pass?
578
45 - 6 + (32 +2) + 14
64
Write the prime factorization of the number using powers.
320
320 = 2 x 2 x 2 x 2 x 2 x 2 x 5
= 26 x 5
An equation is shown.
−126 = 3x
What value of x makes the equation true?
A x = −42
B x = −0.0238
C x = −129
D x = −378
x = −42
An inequality is shown.
−8x ≤ 38
Which inequality represents the solution set?
A x ≤ −4
B x ≤ 46
C x ≥ −4
D x ≥ 46
x ≥ −4
A store manager determined that 78% of customers who make a purchase pay with a credit card. Based on that information, how many customers out of 1,500 will pay with a credit card?
A 117
B 1,170
C 780
D 1,422
1,170
Which expressions are equivalent?
A, B, and E are equivalent to each other; and C is equivalent to D.
Determine the greatest common factor of the number pair using prime factorization.
28 and 70
28 = 2 × 2 × 7
70 = 2 × 5 × 7
GCF = 2 × 7 = 14
Jeremy spent a total of $79.16 on a shirt and one pair of jeans. He knows the jeans cost $49.95 but he does not know the cost of the shirt, s. He created the model shown to find the cost of the shirt.
What is s, the cost of the shirt?
A $29.21
B $30.81
C $129.11
D $1.58
$29.21
The new shelves in the library can hold a maximum of 12 books each. Molly has 50 books that she wants to place in the new shelves. How many shelves will she need to hold all 50 books?
5
Reyna fences off part of her backyard for her dog as shown in the diagram.
What percentage of the whole yard is fenced off for the dog yard?
37.5%