Name: _____________________
Class: _________________
M8-U10: Notes & HW #7
Solve and check the following equation, if possible, if there is no solution or infinitely many
solutions state that.
1a.
2.
6a  3  6a  3
1b.
10m  13  7m  1  3m  2
Triangle ABC is dilated by a scale factor of 1.5 to form triangle A'B'C'. What is the length
of A' B' and mA' ?
a) A' B'  2cm, mA'  84
b) A' B'  4.5cm, mA'  84
c) A' B'  2cm, mA'  126
d) A' B'  4.5cm, mA'  126
1
3.
Line segment AB is reflected to create line segment A'B'. What is the line of reflection?
y
5
A (-4, 2)
4
3
B (3, 3)
2
1
–7
–6
–5
–4
–3
A'(-4, -2)
–2
–1
–1
B'(-2, -1)
–2
1
2
3
x
–3
–4
–5
(Circle the correct answer.)
a) x  1
b) y  1
c) y  1
d) x  1
4.
x
-8
-3
0
6
y
-42
-17
-2
28
If a line contains the points in the table above, the equation of the line is
a) y  2 x  5
b) y  2 x  5
c) y  5 x  2
d) y  5 x  2
2
5.
At a certain store, all notebooks are priced the same and all binders are priced the same.
One person bought 3 notebooks and 2 binders for $7.25. Another person bought 2
notebooks and 4 binders for $9.50. What is the price of each notebook and each binder?
3
6.
4
2
2 2 2
     
3 3 3
What is the simplified form of
?
2 2 2
   
3 3 3
2
a)  
3
3
2
b)  
3
8
2
c)  
3
6
2
d)  
3
24
3
7.
8.
9.
10.
For each week of work, Aaron gets paid a base amount of $500 plus 25% of his total
sales. If y represents his base pay each week and x represents his total sales, which
equation models this relationship?
a. y  500.25 x
b. y  500.25  x
c. y  0.25  500 x
d. y  500  0.25 x
Every time x increase by 1, y decreases by 3, and when x is -6, y is -3. Which function
models the relationship between x and y?
a. y  6 x  21
b. y  6 x  3
c. y  3 x  3
d. y  3 x  21
In the pair of equations bx  6 y  18 and 2 x  3 y  9 , b is a constant. The system of two
equations has infinitely many solutions. What is the value of b?
a) 3
b) 4
c) 5
d) 6
Which point in the scatter plot below appears to be an outlier?
a) the 20-minute lesson that cost $20
b) the 45-minute lesson that cost $45
c) the 60-minute lesson that cost $55
d) the 90-minute lesson that cost $40
4
11.
Which sequence of transformation is performed so that Figure 1 is congruent to Figure 2?
a. Figure 1 is translated 3 units up and 4 units to the left.
b. Figure 1 is translated 5 units down and 4 units to the right.
c. Figure 1 is translated 4 units down and 5 units to the right.
d. Figure 1 is translated 4 units up and 5 units to the left.
12.
Which expression is not equivalent to
1
?
343
a. 7 1  7 2
c. 7 7  7 10
b. 7 2  7 5
d. 7 5  7 2
5
13.
14.
Find the value of k in the diagram below.
a. 4
c. 5
b. 6
d. 7
The table below lists ordered pairs of a function.
Is the function linear or nonlinear, and why?
a. It is nonlinear, because the rate of change is not constant.
b. It is nonlinear, because the rate of change is not positive.
c. It is linear, because the rate of change is constant.
d. It is linear, because the rate of change is positive.
6
15.
Consider the two scenarios below.
In which scenario does ticket revenue increase faster?
a. Scenario 2 because that unit rate is $35.
b. Scenario 1 because that unit rate is $30.
c. Scenario 1 because that unit rate is $40.
d. Neither because the unit rates are equal.
16.
An athletic department sold 454 tickets to a sporting event. Adults paid $3.50 per ticket,
and students paid $1.00. The total ticket sales were $1,154. How many adult tickets and
how many student tickets were sold to the event?
a. 25 adult tickets and 429 student tickets were sold.
b. 148 adult tickets and 306 student tickets were sold.
c. 174 adult tickets and 280 student tickets were sold.
d. 280 adult tickets and 174 student tickets were sold.
7