Numbers & Operations
What is the value of √81?
9
(and -9)
A car travels 180 miles in 3 hours. What is its unit rate?
60 miles per hour
Solve: 3x − 5 = 16
x = 7
What is the slope of the line represented by y = 3x + 2?
3 or 3/1
Point A starts at (2, 3). Translate it 4 units right and 1 unit down. What are the coordinates of A′?
(6, 2)
Simplify the fraction 6/24.
1/4
If 5 notebooks cost $12.50, what is the cost per notebook?
$2.50 per notebook
-5(x − 2) = 30
x = −4
What is the y-intercept of y = −2x + 5?
Write answer as an ordered pair.
(0, 5)
Point B starts at (1, 4). Reflect it across the x-axis, then translate it 3 units left. What are the coordinates of B′?
(−2, −4)
Write 0.375 as a fraction in simplest form.
3/8
375/1000 = 15/40 = 3/8
A proportional relationship is represented by y = 4x. What is the constant of proportionality (unit rate)?
4
4x + 9 = 2x + 21
x = 6
A line has slope 4 and passes through the point (0, −3). Write its equation.
y = 4x − 3
Point M is at (−4,2). Dilate the point by a scale factor of 1/2 centered at the origin. What is the coordinate of M'?
(-2, 1)
A square has an area of 50 square units. What is the length of one side?
Provide an exact answer AND round it to the tenths place.
√50 ≈ 7.1
A graph passes through (0,0), (3,15), and (8, 40). Is the relationship proportional? Why?
Yes, because the graph goes through the origin and has a constant rate of change (makes a straight line).
5(x − 2) = 2x + 1
x = 11/3
Determine whether the coordinate points listed represent a function or not:
(1, 2), (5, 10), (3, 6), (3, 2)
No
(because repeating inputs)
Point C starts at (3, 2). Rotate it 90° counterclockwise about the origin, then translate it 1 unit up. What are the coordinates of C′?
(−2, 4)
Between which two integers does √45 lie?
6 and 7
A graph contains points (2,10), (4,20), and (6,30). Write the equation representing the proportional relationship.
y = 5x
4(5x + 2) = 16x + 12 + 4x
No Solution
Determine whether the relation represented by the points (1,3), (2,5), (3,7), and (4,9) is a function and write its rule.
Yes
y = 2x + 1
Rectangle ABCD has a perimeter of 16.8 units and point A is located at (0, 0). The rectangle is rotated 90∘ counterclockwise, then translated 6 units down, then reflected across the x-axis. What is the perimeter of rectangle A'B'C'D'?