Rational Numbers and Exponents
Is the value of 9.3 – (–9.3) positive, negative, or zero?
Positive (18.6)
Is y = 4x + 5 proportional? Explain.
No. It is not in the form y = mx.
Which expression represents the sum of (4x – 8y) and (-x + y)?
3x - 7y
Classify the equation as having one, none, or infinitely many solutions.
8w + 2 = 2(4w + 1)
infinitely many solutions
A triangle has angle measures 54 and 23 degrees. What is the measure of the third angle?
103
(4)(-7)
-28
Is this scenario a proportional relationship? It costs $200 to rent a car for 4 days and $190 to rent the same car for 8 days. Explain.
No. The ratios are not the same.
Identify an equation that could represent the following description.
Four more than seven times a number is -5.
7x + 4 = - 5
Identify the slope and the y-intercept of the linear equation: 𝑦=−6𝑥+3
slope: -6/1
y-intercept: 3
Two angle measures represented by 3x + 4 and 5x are supplementary. Find the value of x.
22 degrees
Find the quotient: 25/99
0.25 repeating
Describe what a proportional graph looks like.
It is a straight line and goes through the orgin (0,0).
Subtract. (-2x – 2) - (5x - 9)
- 7x + 7
Classify the equation as having one, none, or infinitely many solutions.
4w + 3 = 2(2w + 1)
No solution
Find the hypotenuse of a triangle if the legs are measured as 3 and 6 inches. Round to the nearest tenth.
6.7 inches
The temperature at midnight was -6 degrees.
It increased 3.5 degrees per hour for 4 consecutive hours.
What was the temperature at 4:00 am?
8 degrees
You purchased a salad and an iced tea while dining at Olive Garden.
The salad cost $7.83, and your drink was $1.81. You would like to leave a 15% tip. How much of a tip will you leave the waiter?
$1.45
Heather’s monthly cell phone plan charges a flat rate of $25 plus $0.10 per text. She wants to keep her bill under $50.
Write the inequality that represents the number of texts, 𝑛, Heather can send each month while staying within her budget?
x < 250
Describe how to find the slope from a graph. Include how you know if the slope is negative or positive.
What is the radius of a circle whose circumference is 25.12? Use 3.14 for 𝜋.
4
Simplify: (5𝑎4)(−2𝑎3)
- 10a7
A store sold 457 bicycles last year. This year the store sold 583 bicycles.
What is the percent decrease in the number of bicycles sold from last year to this year?
Round the nearest percent.
28%
You were given a fish aquarium for your birthday, and now you’re shopping for fish and supplies. You have $140 to spend. The total cost of the filter, rocks, and plants was $74. The fish you have chosen to put in the tank cost $5 each. What is the greatest number of fish you can purchase?
13
Write the equation of a line with a slope of -3 and a y-intercept of 5.
y = -3x + 5
A circular plate has a diameter of 7 inches. What is the area of the plate?
12.25 pi inches squared