WorksheetsMath 1 Semester 2 Practice Final
Total questions: 42
Worksheet time: 11hrs 30mins
-4 (4 + 4x) = - 112
-4
1
6
-16
Verizon charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls. If you make 25 minutes of long distance calls per month, what will it cost?
$27
$522
$5
$72
Students in Karaoke Club hosted a car wash, represented in the graph below. Select TWO true statements.
The students earned $25 per car washed.
The students earned about $3 per car washed.
At the end of the fundraiser, students had earned $80.
Karaoke Club had $25 raised before washing any cars.
Which TWO coordinate points are a solution to the system shown in the graph?
(0, 2)
(0, -2)
(2, 4)
(4, 2)
To solve the system, which of the following steps is NOT correct if applying the elimination method?
Multiply the second equation by -2 to allow the y to eliminate.
Multiply the second equation by 7 to allow the x to eliminate.
Solve the second equation for x and use the resulting expression in the first equation to solve for y.
Multiply the first equation by -1 and the second equation by 2 to allow the y to eliminate.
To solve the system by substitution, which is the correct first step?
-(6y - 18) + 3y = 12
-(6y - 18)x + 3y = 12
-x + 3y(6y - 18) = 12
-x + 3(6y - 18) = 12
Consider line n: y = 5x + 2
and line p: x - 6y = -12.
What is true about point (0, 2)?
It is on both lines.
It is not on either line.
It is on line n only.
It is on line p only.
Forrest draws two distinct, non-intersecting lines, r and s. Which conclusions must be true? (Select ALL that apply.)
Lines r and s are parallel.
Lines r and s form four angles.
Lines r and s are perpendicular.
Lines r and s do not share a common point.
Which of these are solutions to the system of inequalities shown? Select TWO that apply.
(-2, -2)
(-7, 4)
(0, 8)
(-4, -4)
Which inequalities are represented in the graph? Select TWO that apply.
y > 3/2 x + 3
y < - 3/2 x - 2
y ≤ 3/2 x - 2
y < 3/2 x - 2
y ≥ 3/2 x + 3
The graph shows a linear function, f(x), a quadratic function g(x), and a circle, h(x). Select TWO points that are approximate solutions to the equation f(x) = g(x) = h(x).
(-2, 1)
(1, -2)
(-1, -2)
(2, 1)
Alex sold 120 pies for a school fundraiser. An apple pie costs $4 and a pumpkin pie costs $9. Alex's sales totaled $705. How many apple pies and how pumpkin pies did Alex sell?
80 apple pies, 40 pumpkin pies
40 apple pies, 80 pumpkin pies
45 apple pies, 75 pumpkin pies
75 apple pies, 45 pumpkin pies
Which graph represents the system of equations?
None of these.
What is common difference of the following arithmetic sequence?
27, 14, 1, -12, …
-25
27
-13
13
-27
Your grandmother gives you $1000 to start a college fund. She promises to add $200 to the fund each month, if you add $5 each month.
Write an explicit formula for the arithmetic sequence of the amount in your college fund after n months.
f(n) = 205n + 1000
f(n) = 1000n + 795
f(n) = 205n + 795
f(n) = 1000n + 205
Select the sequence that is expressed by an = 2(3)n-1
2, 6, 18, 54, ...
3, 6, 9, 12, ...
1, 3, 9, 27, ...
2, 5, 8, 11, ...
3, 6, 12, 24, ...
Which type of function best models the values provided in the table?
Linear
Quadratic
Exponential
Cubic
Sharon buys a used car. The value of the car after being owned a certain amount of years is shown in the table. Which is the function that models the value of the car after being owned t years?
f(t) = 0.65(16000)t
16000 + 0.65t
16000(0.65)t
16000(0.65)t
Given the following geometric sequence, find the common ratio and use it to write the explicit and the recursive formulas. 1, -3, 9, -27, ...
an = 1(3)n-1 ; an = an-1⋅(3)
an = 1(-3)n-1 ; an = an-1⋅(-3)
an = -3(1)n-1 ; an = an-1⋅(1)
an = -3n + 1 ; an = an-1 - 3
Sandra is studying two animal groups. Both start with 100 individuals. The graph shows how the populations grew over the past 8 years. If the pattern continues, which population will be larger after 20 years?
Population 1, because it is increasing exponentially.
Population 1, because it is increasing linearly.
Population 2, because it is increasing exponentially.
Population 1, because it is increasing linearly.
Which of these can be found with the construction shown in the diagram?
A line segment parallel to segment PQ
The midpoint of segment PQ
A line segment congruent to segment PQ
A right triangle with segment PQ as its hypotenuse
Determine which statement is true.
AM = MB
1/2 AB = 1/2 CD
CM = MB
AB = CD
Which of the following mapping rules would translate ABCD to A’(-2,3), B’(1,3), C’(1,6), D’(-2,6)?
(x,y) → (x + 1, y - 4)
(x,y) → (x + 4, y - 1)
(x,y) → (x - 4, y + 1)
(x,y) → (x - 1, y + 4)
Which of the following describes the transformation from ABC to A'B'C'?
Reflection of ABC over the x-axis
Rotation of ABC 90 degrees clockwise
Translation of ABC down 2 units
Reflection of ABC over the y-axis
Which transformation will carry figure 1 onto its image, figure 2?
270 degree counter clockwise rotation about the origin
180 degree counter clockwise rotation about the origin
Reflection over the line y = x
A translation by rule (x, y) → (x + 4, y - 2)
A triangle with coordinates D(-5,-5),
E(-3,-2), and F(-2,-5) is translated 4 units right and 3 units up. What are coordinates of the new rectangle?
D’(-1,-2), E’(1,1), F’(2,-2)
D’(-2,-1), E’(0,2), F’(1,-1)
D’(-9,-8), E’(-7,-5), F’(-6,-8)
D’(-1,-8), E’(1,-5), F’(2,-8)
Which TWO statements are true about the picture?
Angle 121 and angle x are supplementary
Angle 121 and angle x are complementary
Angle 63 and angle y are supplementary
Angle 63 and angle y are complementary
Which theorem or postulate can prove ΔABC≅ΔADC?
Given AB = AD and BC = DC
SSS
SSA
SAS
Not enough information to prove.
Which theorem or postulate can prove ΔRST≅ΔXYZ?
AAS
ASA
SAS
HL
Not enough information to prove.
If you plot the points D(4,-3), O(2,3), and G(3,-7) in a coordinate plane, what is the distance between point D and O?
2√10
4√10
40
4√2
What is the length of segment AC?
2√5
10
√10
14
None of these.
Consider the right triangle. Find the midpoint of the line segment CT, given that point C is (-3,-2) and point T is (-3,-7).
(-3, -2.5)
(-3. -4.5)
(0, 4.5)
(0, 2.5)
According to the data in the table, which statement is FALSE?
More females than males chose basketball as their preferred sport.
More females than males chose baseball as their preferred sport.
More females than males chose soccer as their preferred sport.
More males than females chose either baseball or soccer as their preferred sport.
More females chose basketball than baseball as their preferred sport.
The age of each student in a scout troop is shown below.
7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14
Which box plot best represents the age of the students in the scout troop?
A store manager records the price and number of TVs sold in a store in the scatterplot shown. Based on the trend shown in the scatterplot, which of the following is a likely number of TVs sold if the TVs are sold for $900?
41 TVs
29 TVs
10 TVs
23 TVs
Tony graphs a function.
· The domain of the function is -4 ≤ x ≤ 4
· The range of the function is -1 ≤ y ≤ 1
· The y-intercept of the function is 0.
*ENH*: The coach of a baseball club visits a local sporting goods store and sees that one bucket of baseballs and one bat costs a total of $50. The coach decides to order 3 buckets of baseballs and 5 bats for a total cost of $220. He compares the prices at other stores. Which of the following orders have the same cost per bucket of baseballs and the same cost per bat as in the original order? Select TWO that apply.
2 buckets of baseballs and 4 bats for a total cost of $170
3 buckets of baseballs and 6 bats for a total cost of $270
4 buckets of baseballs and 4 bats for a total cost of $220
5 buckets of baseballs and 7 bats for a total cost of $320
*ENH*: Which of the following functions has an exponential growth of 2%?
f(x)=5000(0.98)x
f(x)=5000(2)x
f(x)=5000 (0.02)x
f(x)=5000(1.02)x
*ENH*: Triangle ABC is graphed on a coordinate plane with vertices on (0,0) , (0,-4), and (4,0). Which methods would prove that triangles ABC is a right triangle? Select ALL that apply.
Applying the slope formula on each of the sides and showing that the slopes are the same.
Applying the distance formula on each of the sides and showing that the three lengths satisfy the converse of the Pythagorean Theorem.
Applying the midpoint formula to show that one side is half the length of the other sides.
Applying the slope formula on each of the sides and showing that the slopes are negative reciprocals.
Showing that the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.
*ENH*: Which of the following can be the coordinates of point A if triangle ABO is an isosceles triangle? Select ALL that apply.
(0,3)
(3, 3)
(3, 6)
(2, 4)
*ENH*: The dot plots show the average test scores of Mr. Sanson’s Class and Mrs. Kwei's Class. Which of the following statements is true?
The mean for Mr. Sanson’s is smaller than the mean for Mrs. Kwei's class
The mean for Mr. Sanson’s is larger than the mean for Mrs. Kwei's class
The mean is the same for Mr. Sanson’s and Mrs. Kwei's class
The mode is the same for both classes.
Which of the following functions best represents the graph?
f(x) = 3x
f(x) = x2
f(x) = x
f(x) = x3
