RATIONAL NUMBERS
Simplify: 5.4+(−2.7)
2.7
If 3 shirts cost $24, what is the unit price per shirt?
$8 per shirt
Use the distributive property to expand: 3(2x−4)
6x - 12
If diameter = 4 in, what is the circumference if π is 3.14
12.56 in
A class of 24 students has 10 girls and 14 boys. What percent are girls?
41.67%
A diver is at sea level (0 ft). She dives 18.5 ft then rises 7.2 ft. What is her final depth?
-11.3
A car travels 5/8 mile in 1/4 hour. What is the speed in miles per hour?
2 1/2
Solve: 4x−5=15.
x = 5
A circular garden has radius 7 m. Find the circumference and the area. Use 3.14 for pi
C = 43.96 m
A = 153.86 m
Name one measure of center you could use to compare two numerical data sets and briefly say why.
Example: Mean, Median, Mode
Give a real-world example that shows two opposite quantities combining to make 0 and write the corresponding equation.
Example: You owe your friend $15 (that’s −15). Later, you pay them back $15 (that’s +15).
Given table: x: 1,2,3,4 ; y: 2.5,5,7.5,10 — is this proportional? Explain and give the equation for the proportional relationship.
Yes, y = 2.5x
Write and solve an inequality for: "You need at least $120. You already have $30 and will earn $15 per week. How many weeks must you work?" Then graph the solution (describe the solution set).
30+15w≥120
w≥6
Find the volume of a triangular prism with base area 144cm and height of prism of 8 cm.
1,152 cm cubed
When rolling a fair six-sided dice, how many outcomes in the sample space and what is the probability of rolling a 6?
1-6 and 1/6
Find the distance between −3 1/2 and 2 1/4 on the number line (express as an absolute value).
5 3/4
A phone priced at $300 is discounted 15%, then tax of 6% is added. What is the final price? (Round to nearest cent.)
$270.30
Write an equation relating independent variable t (hours) and dependent variable d (distance) if a bicycle rides at a constant 6.5 miles per hour.
Equation: d=6.5t
Describe the two-dimensional cross-section when slicing a rectangular prism parallel to its base.
rectangle!
A bag is tested 200 times. A blue marble is drawn 46 times. Write the experimental probability as a fraction in simplest form.
46/ 200 = 23/100
Convert 7/12 to a decimal and state whether it terminates or repeats.
0.58333333
Repeating!
Two proportional relationships are shown: A: y = 3x, B: y = 2x + 3. Are both proportional? Explain and identify the constant of proportionality when it exists.
A is proportional and B is not.
A has a unit rate of 3.
Show two different algebraic steps (using properties of operations) that transform 1/2(4x+6) into an equivalent simplified expression.
Answers can vary!
Example- Distributive: 2x + 3
Mark is looking at a blueprint of a skateboard ramp that shows the ramp’s length is 11.4 inches. If the scale on the blueprint is 1 inch: 6 feet, find the actual length of the ramp.
68.4 feet
A fair die is rolled 300 times. How many times would you expect to roll a number greater than 4? Explain.
Expected 100 times