Unit 1 Review
A scientist records the mass of a particle as 0.000073 grams
Which expression represents this number in scientific notation?
7.3 x 10-5
A relation contains the points:
(2,5), (3,7), (4,9), (2,8)
Is this relation a function?
A right triangle has legs of 9 inches and 12 inches.
Find the hypotenuse.
15 inches
Find the mean of:
12, 14, 18, 20
16
A student writes:
0.00082=8.2×104
What mistake did the student make?
The exponent should be negative because the number is less than 1.
Solve:
4(2x−3)=36
x= 6
A line has a slope of −3 and passes through (0,8).
Write the equation.
y=−3x+8
Point A(−6,4) is reflected over the y-axis.
What are the coordinates of A′?
(6,4)
Find the mean absolute deviation of:
3, 5, 7, 9
Mean = 6
Distances: 3, 1, 1, 3
MAD = 2
A student reflects (−3,7)(-3,7)(−3,7) over the x-axis and writes:
(3,7)
They changed the x-coordinate instead of the y-coordinate.
Correct answer:
(−3,−7)
Order from least to greatest: ––√3, 1/2, 0, -2
-2, –√3, 0, 1/2
A line passes through (2,7) and (6,19).
What is the slope?
3
A point (5,−2) is rotated 180∘ about the origin.
What is the new point?
(-5, 2)
A cylinder has radius 4 cm and height 9 cm.
Find the volume.
452.38
A student writes the equation for a line with slope 5 and y-intercept −2 as:
y=−2x+5
What mistake did the student make?
They switched the slope and y-intercept.
Correct answer:
y=5x−2
Convert 2.3 × 10-3 into standard form.
0.0023
A gym charges a one-time fee of $25 plus $18 per month.
Write an equation for the total cost y after x months.
y=18x+25
A ladder is 13 feet long and reaches a window 12 feet high.
How far is the bottom of the ladder from the wall?
5 ft
A rectangular prism has dimensions 8 ft, 5 ft, and 3 ft.
Find the surface area.
(height is 3)
150 ft2
A student calculates simple interest for $800 at 6% for 4 years:
800(6)(4)=19,200
What mistake did the student make?
Answer:
They used 6 instead of 0.06.
Correct interest:
800(0.06)(4)=192
A rectangle’s length is (2x – 1) and width is (x + 4). If the perimeter is 38, write and solve an equation to find x.
x = 16/3
Account A: $600 at 5% simple interest for 3 years.
Account B: $600 at 5% compounded annually for 3 years.
Which account has more money and by how much?
Account A: 690
Account B: 694.58
Compound has $4.58 more.
Triangle ABC is dilated by a scale factor of 3/2
A side length of ABC is 10 cm. What is the matching side length after dilation?
15 cm
A cone has radius 6 inches and height 10 inches.
Find the volume.
376.99
A student finds the volume of a cylinder with diameter 10 and height 6:
V=π(10)2(6)=600π
What mistake did the student make?
They used the diameter as the radius.
Correct radius is 5, so:
V=π(5)2(6)=150π