Mod 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
If the have the point (0,5) and reflect it across the x-axis and then translate it 2 units down and 4 unit right, what is the ordered pair of the new location?
(4,-7)
Angle 3 is supplementary to angle 4. If the measure of angle 3 is 5x and the measure of angle 4 is 140. What is the value of x?
8
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)
What is the distance between (-10,0) and (3,0) on a coordinate plane?
13 units
In a right triangle, leg 1 is 12cm and leg 2 is 16cm. How long is the hypothenuse?
20cm
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)
Name the quadrant: (-3,-4)
Quadrant III
What is 0.272727.... as a fraction in simplest form?
3/11
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
Solve the equation: -3x - 2x + 7 = -3
x = 2
Explain how to find the input given a function rule and output.
Sample response: To find the input, work backwards by performing the rule using the reverse of the order of operations.
Is the number 64 a perfect square or a perfect cube?
Trick Question:
It is both! The square root of 64 is 8 and the cube root of 64 is 4.
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
Anita has saved $43 of the $108 that she needs for a new snowboard. She saves $13 from her paper route each week. Define a variable. Then, write and solve an equation to determine the number of weeks it will take Anita to save enough money for the snowboard. Interpret the solution.
Let x represent the number of weeks it will take Anita to save enough money for the snowboard.
13x + 43 = 108; x=5; It will take Anita 5 weeks to save enough money for the snowboard.
Find the error: Dani is finding the output when the function rule is 10/x and the input is 2. Find her mistake and correct it.
Dani says: 2/10 = 0.2
Her mistake is that she divided the input by 10 instead of dividing 10 by the input.
The correct answer: 10/2 = 5
Choose one: always, sometimes, or never
If a number is a repeating decimal, then it is an irrational number.
Never