1. Is the equation true, false, or open?
4y + 8 = 6y + 3 (1 point)
True; the expressions are the same for all values of the variables.
False; the expressions are never the same.
Open; there is a variable.
2. Which value is a solution of the equation 5 – 4x = –3? (1 point)
0
2
–3
one fourth
3. Which ordered pair is a solution of the equation y = x – 3? (1 point)
(–2, 5)
(–5, 2)
(2, 5)
(5, 2)
4. Which ordered pair is a solution of the equation y = 5x? (1 point)
(–2, 10)
(–5, 25)
(–3, 15)
(–2, –10)
5. Which ordered pair is a solution of the equation y = –7x + 2? (1 point)
(1, 2)
(8, –54)
(5, –35)
(1, –7)
6. Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable x represent Nick’s age and y represent Sara’s age. Which graph represents the relationship between Nick’s age and Sara’s age? (1 point)
The first quadrant of a coordinate plane titled “Nick’s and Sara’s Ages” is shown. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 4 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 4 comma 8 right parenthesis.
The first quadrant of a coordinate plane titled “Nick’s and Sara’s Ages” is shown. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma one-half right parenthesis, and left parenthesis 8 comma 1 right parenthesis.
The first quadrant of a coordinate plane titled “Nick’s and Sara’s Ages” is shown. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 0 comma 0 right parenthesis, left parenthesis one-half comma 4 right parenthesis, and left parenthesis 1 comma 8 right parenthesis.
The first quadrant of a coordinate plane titled “Nick’s and Sara’s Ages” is shown. The x-axis is labeled Nick’s Age in years. The y-axis is labeled Sara’s Age in years. The graph shows a line passing through the points left parenthesis 4 comma 0 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 8 comma 4 right parenthesis.
7. Solve the following equation.
–5 = x + 3 (1 point)
x = 2
x = –2
x = 8
x = –8
8. Solve the following equation.
x – 3 = –5 (1 point)
x = The fraction is negative 5 over 3.
x = –2
x = –8
x = 15
9. Solve the following equation.
2.8 = 2y (1 point)
y = 1.4
y = one half
y = 2.8
y = 0.6
10. Solve the following equation.
–9 = Start Fraction r over 4 End Fraction (1 point)
r = 36
r = 13
r =nine-fourths
r = –36
11. Solve the following equation.
–4 = seven over thirty-three times x (1 point)
x = one hundred thirty two over seven
x = Negative one hundred thirty two over seven
x = Negative seven over one hundred thirty two
x = Negative thirty three over twenty eight
12. Which equation is an identity? (1 point)
7 – (9x + 3) = –9x – 4
6m – 5 = 7m + 5 – m
10p + 6 – p = 12p – 3(p – 2)
3y + 2 = 3y – 2
13. Which equation has no solution? (1 point)
5 m minus 6 equals 5 m plus 7 minus m
3 w plus 4 minus w equals 5 w minus 2 left parenthesis w minus 2 right parenthesis
7 y plus 9 equals 7 y minus 6
4 z plus 8 equals negative 4 z minus 2
14. Solve the following equation.
3(x – 7) – x = 2x – 21 (1 point)
7
–2
infinitely many solutions
no solution
15. Solve the following equation.
3 + 6z = 13 + 6z (1 point)
z = –
z = 2two-thirds
infinitely many solutions
no solution
16. Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy? (1 point)
$5.00
$5.25
$2.50
$7.25
17. Solve the following equation.
3(y – 5) + 2 = 5 (1 point)
y = 4
y = 7
y = –4
y = 6
18. Solve the following equation.
70 = –7(–2 – 2z) (1 point)
z = 4
z = –28
z = –112
z = 784
19. Solve the following equation.
–4y + 8 = 4(2y – 2) – 2(–16 + 8y) (1 point)
y = –4
y = 4
y = –2
y = –6
2 answers
I'll do one.
-4y+8 = 4(2y-2) - 2(-16+8y)
-4y+8 = 8y-8 - (-32+16y)
-4y+8 = 8y-8+32-16y
-4y-8y+16y = -8+32-8
4y = 16
y = 4