Unit Rate
Tim makes 12 cookies for 21$. At this rate how much could he make if he sold 40 cookies?
He would make $70
Read this example and find the slope. "Martin has 9 marbles in his pocket and collects 6 marbles every month. How many marbles will he have after 10 months? "
6
Simplify the following radical. √12
2√3
What is the slope of the equation y = -4x + 3?
-4
If 9 more than the product of -2 and number is twenty-three. What is the number?
-7
Ronald is preparing lemonade for his friends. To make 6 cups of lemonade, he needs 1 cup of lemon juice. To make 24 cups of lemonade, he needs to proportionally increase the amount of lemon juice to _____ cups.
4
What is the equation of a line in slope-intercept form that passes through the points (-2 , -16) and (8 , 54)?
y = 7x - 2
Simplify the expression: √32 + √18
7√2
What is the slope of a line that passes through the points (-7 , 33) and (4 , -22)?
m = -5
Point J has the coordinates (-2 , 3). It is reflected across the x-axis and then rotated 90o counter-clockwise. What are the coordinates of point J'?
J'(3 , -2)
A vegetable farmer fills 2/3 of a wooden crate with 5/7 of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
1 and 1/14 pounds or 15/14 pounds
What is the equation of a line in slope-intercept form that passes through the points (0 , 0) and (5, -15)?
y = -3x
Simplify the expression: 6√20 - 4√125
-8√5
What is the slope of a line that passes through the points (6 , 11) and (24 , 15)?
m = 2/3
David is the captain of the school soccer team. Last year, the team won four more games than it lost. If the team won 46 games, how many games did it lose?
42
Jenna jogs 12 miles in 4 hours. At this rate how long would it take to travel 13.5 miles?
4.5 hours or 4 and 1/2
What is the equation of a line in slope-intercept form that passes through the points (3 , 1) and (3 , 8)?
x = 3
Simplify the expression: 8√135 ÷ 2√60
6
What is the slope of a line that passes through the points (-6 , -23) and (8 , 12)?
m = 2.5
What is the y-intercept of a line that passes through the points ( 2, -3) and (-6 , 25)?
4