Module 1/2
Damian can make 3 free-throw shots in
10 seconds and 18 free-throw shots in
1 minute. What is the constant of proportionality?
0.3 or 3/10
Estimate the square root of 52 to the nearest tenth.
7.2
Solve the inequality:
– 3x + 6 > 15
x < –3
A decorative plate has a circumference of 68.5 centimeters. Find the approximate diameter of the plate. Use 3.14 for π. Round to the nearest hundredth if necessary.
21.82 cm
What is the distance between (-10,0) and (3,0) on a coordinate plane?
13 units
Riley got 6 out of 10 problems correct on her practice test. If there are 150 problems on the actual test, predict how many problems Riley will get correct.
90 problems
(-2/7) / (8/21)
-3/4
Simplify:
3/4(32x - 16) - (6x - 24)
6(3x + 2)
A cat casts a 32-inch shadow at the same time that a nearby flower casts an 8-inch shadow. If the flower is 3 inches tall, how tall is the cat?
12 inches
What is the slope of the line that passes through the points A(-2,-1) and B(3,5)?
6/5
Sasha buys 8 sashes for $12. Write an equation relating the total cost y to the number of sashes x.
y = 1.5x
Evaluate the expression if v = –64, w = 4, x = –12, and y = 8.
(xy/w)+v
–88
Factor:
56x – 21
7(8x – 3)
Polygon EFGH has vertices
E(4, –3), F(2, –4), G(1, –1), and H(5, 0)
Write the coordinate notation for a clockwise rotation of 90° about the origin. Then write the coordinates of polygon E′F′G′H’.
(x, y) 🡪 (y, –x);
E’(–3, –4), F’(–4, –2),
G’(–1, –1), H’(0, –5)
What is the slope and y-intercept for the graph of
y + 7x = -25
slope: -7
y-intercept: -25 or (0,-25)
A local camping store deposited $12,000 into a savings account. The account pays 2.5% simple interest. If the store does not add or withdraw money from the account, how much interest will the store earn after 8 months?
$200.00
Evaluate the expression if a=9/10, b=2/5, c = 1.8, and d=-3/5. Write your answer as a decimal or a fraction in simplest form.
a+0.4(b-d)
1.3 or 1 3/10
Determine the number of solutions:
-12w + 15 = 2(-6w+9) - 3
Infinitely many solutions
Square MNOP has vertices M(1, 3), N(3, 5), O(5, 3), and P(3, 1).
Its image has vertices M’(–5, –4), N’(–3, –2),
O’(–1, –4), and P’(–3, –6).
Describe the transformation that occurred. Then, write the coordinate notation for the transformation.
Description: Translation of 6 units left and 7 units down
Coordinate Notation: (x, y) 🡪 (x – 6, y – 7)
Write an equation, in point-slope form, of a line that passes through (3,-1) and has a slope of -5.
y + 1 = -5(x - 3)
The Playground Center purchases swing sets for $385.99. It sells the swing sets for $598.99. What is the percent of markup? Round to the nearest percent.
55%
A gift box is cube shaped and has a volume of 216 cubic inches. What is the length of one side of the gift box?
6 inches
Marko has 45 comic books in his collection, and Tamara has 61 comic books. Marko buy 4 new comic books each month and Tamara buys 2 comic books each month. Let m represent the number of months. Write and solve an equation to determine after how many months will Marko and Tamara have the same number of comic books.
45 + 4m = 61 + 2m
8 months
A frozen yogurt shop offers frozen yogurt in two types of containers. The cylindrical container has a diameter of 3 inches and a height of 4 inches. The conical container has a diameter of 3 inches and a height of 4 inches. The cost per cubic inch is $0.10 for each container's contents. What is the difference between the costs of yogurt in the two containers if each is filled with yogurt? Use 3.14 for pi. Round the nearest cent.
$1.89
Kayla brought a total of 35 pens to class. There were 4 times as many blue pens as red pens. Write and solve a system of equations to find the number of blue (b) and red (r) pens Kayla brought to class.
Equations: b + r = 35 and b = 4r
7 red pens and 28 blue pens