Ratios, Rates, and Proportional Relationships
A car travels 50 miles in 2 hours. Find the unit rate.
25 mph
-9 + 12 - (-1) - 4 = ?
0
-4x = 28
x = -7
What is 10% of 780?
78
What is a polygon with four sides called?
quadrilateral
Name the two ways to determine if a graph shows a proportional relationship.
Straight line through the origin
(-5)2 + 10 = ?
35
2(y - 9) = 10
y = 14
You want to buy a $75 sweater that is marked 20% off. How much will it cost after the discount?
$60
A triangle has a base of 18 in and a height of 6 in. What is the area of the triangle? (don't forget a label!)
54 in2
If a relationship uses the equation y = 3x, what is the constant of proportionality (k)?
k = 3
y changes by 3 each time x increases by 1
-4 1/8 divided by 11/8
-3
Which of the following are like terms?
-15x, 9y, -x, 10, 0.99x
-15x, -x, and 0.99x
Harold has a bag of 24 marbles. The probability of pulling a red marble is 25%. If the rest of the marbles are green, how many green marbles are there?
18 green marbles
A rectangle has a length of 8 inches and a width of 9 inches. Find the area and the perimeter of the rectangle.
A = 72 inches2
P = 34 inches
Jeffrey sells 3 mugs for $24, 5 mugs for $40, and 12 mugs for $95. Is this a proportional relationship? Explain why or why not.
No, the unit rate changes from $8.00 per mug to $7.92 per mug ($95 for 12 mugs)
Convert -7/9 to a decimal.
-0.7777777
-6m > -18
Would this number line have an open circle or a closed circle? (no steal)
m < 3 (open circle)
*flip the sign when you multiply or divide by a negative
If a store discounts a $32 book by 30% off, how much will it cost?
$22.40
In terms of pi, what is the area of a circle with a diameter of 10 cm?
25(pi) cm2
A store sells 2 pounds of tomatoes for $7. Write an equation that represents the cost, c, for p pounds of tomatoes.
c = 3.5p
Find the mean of the following numbers:
-12, 4, 7, -2, 0, 9
Sum = 6
Mean = 1
-3(x - 4) = 15
x = -1
A store manager buys binoculars for $45 each. They mark up the cost by 40% to set the store price. How much will the binoculars cost?
$63
Pi is the ratios of the _______ to the diameter.
circumference