Solving Equations
Which is the solution for x:
2(x-7)=18
A. x=2
B. x=9
C. x=16
D. x=25
C. x=16
Solve for t:
d=rt
A.r=dt
B. t=d/r
C. t=r/d
D. t=d-r
B. t=d/r
Mia is ordering a custom cake for her birthday party. The bakery charges a base fee of $25.00 plus $3.50 per serving. Write an equation that represents the total cost of the cake, y, that serves x people.
A. y=25x+3.50
B. y=3.50x-25
C. y=25+3.50x
D. y=28.50x
C. y=25+3.50x
What are the solutions to this system of equations?
y=2x+3
2x-y=-3
A. No Solutions
B. Infinite Solutions
C. (2,3)
D. (0,0)
B. Infinite Solutions
Which is the solution for x:
3(x+4)=27
A. x=5
B. x=9
C. x=13
D. x=−5
A. x=5
Solve for w:
A=l*w
w=A/l
Sophia is buying tickets for a school play. There is a $4.00 processing fee for each order plus $12.00 per ticket. Write an equation that represents the total cost, y, for x tickets.
y=12x+4
What are the solutions to this system of equations?
y=-x+4
x+y=6
A. No Solutions
B. Infinite Solutions
C. (2,2)
D. (0,0)
A. No Solutions
Solve for x:
4(x-3)=20
x=8
Solve for x:
y=3x+7
A. x=(y-7)/3
B. x=(y+7)/3
C. x=3y+7
D. x=(7-y)/3
A. x=(y-7)/3
A school is selling tickets to a talent show. Student tickets cost $4 each, and adult tickets cost $7 each. The school earns a total of $350 from ticket sales.
Let x represent the number of student tickets sold and y represent the number of adult tickets sold.
Which equation represents this situation in standard form?
A. 4x+7y=350
B. 4x−7y=350
C. y=4x+350
D. 4x+7y≥350
A. 4x+7y=350
Find the solution to the following system of equations:
x+y=4
2x-y=5
A. (3,1)
B. (1,3)
C. (2,2)
D. (5,-1)
A. (3,1)
2(3x+7)=4x+38
Step 1: 6x+7=4x+38
Step 2: 2x+7=38
Step 3: 2x=31
Step 4: x=31/2
What step is the first error? What is the error?
A gym charges a one-time registration fee of $25 plus a monthly membership fee. The total C cost can be represented by the equation
C=25+mt
where m is the monthly membership fee and t is the number of months. Choice the equation solved for t properly.
A. t=(C+25)/m
B. t=(C-25)/m
C. t=(25-C)/m
D. t=m/(C-25)
B. t=(C-25)/m
A movie theater sold tickets for a special event. Adult tickets cost $12 each, and student tickets cost $8 each. The theater collected a total of $720 from ticket sales.
Let x represent the number of adult tickets sold and y represent the number of student tickets sold.
Write an equation that represents this situation in standard form.
Find the solution to the following system of equations:
2x+y=10
x-y=2
A. (2,6)
B. (4,2)
C. (3,4)
D. (1,8)
B. (4,2)
Error Analysis:
5(2x+4)=8x+28
Step 1: 10x+20=8x+28
Step 2: 18x+20=28
Step 3: 18x=8
Step 4: x=4/9
Step 2 - To create a zero pair, the inverse of +8x is -8x. So, 10x-8x=2x.
Convert 3x-4y=-20 to slope-intercept form. Then, identify the slope and y-intercept.
y=3/4x+5
Slope: 3/4
y-intercept: 5
An amusement park sells adult tickets for $25 and child tickets for $15. A group buys 20 tickets and spends $420. Let x represent the number of adult tickets and y represent the number of child tickets.
Write a system of equations that represents this situation.
x+y=20
25x+15y=420
How many solutions does to equations that graph as parallel lines have?
No solution!