Download 39) The Frosty Ice-Cream Shop sells sundaes for $2 and banana

Name___________________________ Date_____________________
per.____
REVIEW- SOLVING SYSTEMS OF LINEAR EQUATIONS
Write the equations ONLY for #’s 1-3
1) The local ice-cream shop sells sundaes for $3 and banana splits for $6. On a hot summer day,
the shop sold 10 more sundaes than banana splits and made $129. Which system of equations
could be used to find the number of sundaes, s, and banana splits, b, that the shop sold that day?
2) The length of a rectangle is equal to four times the width. Which system of equations can be
used to find the dimensions of the rectangle if the perimeter is 40 centimeters?
3) Lalo and Kester went to the candy store. Lalo bought 20 pieces of fudge and 2 pieces of
bubble gum for a total of $10.50. Kester was going to share his candy with a friend and bought
30 pieces of fudge and 4 pieces of bubble gum for a total of $16.
Solve: Which system of equations could be used to determine the cost of 1 piece of fudge,
f, and 1 piece of bubble gum, g?
5
x − 3 is given below. Graph y = x - 1 on the grid.
3
MUST GRAPH WORK TO RECEIVE
FULL CREDIT EVEN WITH CORRECT
ANSWER.
4) The graph of the equation y =
What is the solution to this system of equations?
5) The equations of two lines are 3x-2 = y and y = 6x + 4. What is the value of x in the solution
for this system of equations?
6) What is the solution for this system of linear equations?
y=−x -1
4x + 2y = 10
7) What is the y-coordinate of the solution to the system of linear equations below
6x + 4y = 4
3x − 2y = −18
8)
What is the solution for this system of linear equations?
3x+3y = 6
8x −4y = 0
9) Marcos had 17 coins in nickels and quarters. The difference in nickels and quarters is 3. He
wrote a system of equations to represent this situation, letting x represent the number of nickels
and y represent the number of quarters. What is the solution?
____ 10. Tell whether the ordered pair (3, –1) is a solution of the system
____ 11. Solve the system
{
.
y = x – 1 by any method.
y = 3x + 5
Answer:__________
____ 12. Solve the system
x = 4y – 10 by any method.
{
x + 2y = 8
Answer:__________
_____ 13. Solve the system
{
4x + 4y = 20 by any method.
7x + 4y = 32
Answer:__________
_____ 14. Solve the system
{
3x + 2y = -8 by any method.
x + 4y = 4
Answer:__________
____ 15. The sum of two numbers is 100. One number is 20 less than triple the second number. Write and solve the
system.
____ 16. Solve the system
____ 17. Solve the system
{
4
{
4
y  x3
y
by graphing.
1
x2
2
-x – 6y = 42 by any method.
5x + 6y = - 18
_____ 18. Given point (2,4) and slope -3, write the equation in slope-intercept form.
_____ 19. Find the y-intercept of 8x + 12 = - 4y.
____ 20. Joslyn is 12 years less than her brother George. The sum of their ages is 92.
What equations can you use to figure out how old the brother and sister are?
How old is Joslyn?
Joslyn is ___________.
21. Find the solution to the system of linear equations described by the tables below:
x
1
2
3
0
-1
-3
-2
y
0
1
2
-1
-2
-4
-3
x
1
2
0
-1
-2
-3
3
y
8
11
5
2
-1
-4
14
22. Find the solution to the system of linear equations described by the sets of ordered pairs listed below:
{ (-4,-5), (-2,-1), (8,19), (3,9), (1,5)} and { (1,0), (6,5),(4,3), (-4,-5),(-2,-3)}
23. Find the solution to the system of linear equations described in the tables below:
X
-3
-2
-1
0
1
Y
-14
-10
-6
-2
2
X
-1
0
1
-2
2
Y
-10
-2
6
-18
14
24. What is the solution to the system of equations on the graph below?
25. What is the solution for the system of equations graphed below?
Answer Key
1.
10+b = s; 3s + 6b = 129; s = 21 and b = 11
2. L = 4w; 2(l+w) = 40; w=4 and l = 16
3. 20f + 2b = 10.5 and 30f + 4b = 16 ; b = .25 and f = .50
4. (3,2)
5. (-2,-8)
6. (6,-7)
7. Y = 5
8. (3,-1)
9. (10,7)
10. No
11. (-3,-4)
12. (2,3)
13. (4,1)
14. (-4,2)
15. X+y=100; x = 3y – 20; (70,30)
16. (2,-1)
17. (6,-8)
18. Y = -3x + 10
19. B = -3; (0,-3)
20. J = g – 12; j + g = 92; Joslyn is 40
21. (-3,-4)
22. (-4,-5)
23. (4,3)
24. (0,-2)
25. (4,4)
26. No solution, parallel lines
27. Infinite solutions; same line.