AnswersTN-Algebra IWriting and Graphing Equations in Two Variables

Writing and Graphing Equations in Two Variables — Unit test Answers

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Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made?

Question illustration
A
Tomas substituted the 3 for x when he should have substituted 6 for x.
B
Tomas added 6 to both sides of the equation instead of subtracting 6.
C
Tomas should have written the equation as .
Option C
D
Tomas substituted 3 for x when he should have substituted 3 for y.
2
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What is the value of x in the equation , when y = 3?

Question illustration
A
x = 6
B
x = 7
C
x = 8
D
x = 9
3

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Question illustration
A
$1.50
B
$2.00
C
$2.50
D
$3.00
4

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.

Question illustration
A
The total number of stamps is 25.
B
The total value of the stamps is $18.75.
C
The total number of stamps is 35.
D
The total value of the stamps is $19.15.
5

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).

Question illustration
A
Each strawberry contains 4 calories.
B
Each strawberry contains 3 calories.
C
Twenty-four strawberries contain 6 calories.
D
Four strawberries contain 15 calories.
6

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

A
3x – 10y = 50
B
3x = 50 – 10y
C
50 + 10y = 3y
D
50 + 3y = 10y
7

What is the value of x in the equation 3x – y = 18, when y = 27?

Question illustration
A
5
B
7
C
45
D
63
8

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Question illustration
A
Each eraser costs $1.00.
B
Each eraser costs $1.50.
C
Three erasers cost $6.
D
Seven erasers cost $3.50.
9

What is the most simplified expression for ?

Question illustration
A
2 c squared d + d c + 6 c squared d squared
Option A
B
2 c squared d + 5 d c + 6 c squared d squared
Option B
C
3 c squared d + 3 d c + 6 c squared d squared + c d
Option C
D
3 c squared d + 2 d c + 6 c squared d squared minus 2 cd
Option D
10

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards.

Question illustration
A
$16
B
$18
C
$19
D
$20
11

What is the coefficient of the x2-term of the algebraic expression ?

Question illustration
A
-1
B
1
C
0
D
2
12

Miguel’s steps in evaluating an expression are given below. Step 1: Step 2: Step 3: Step 4: What, if any, was Miguel’s mistake?

Question illustration
A
Miguel made no mistakes.
B
Miguel incorrectly evaluated 2³ in step 1.
C
Miguel incorrectly multiplied before dividing in step 3.
D
Miguel should have used the distributive property in step 1.
13

What is the value of for and ?

Question illustration
A
-68
B
-4
C
188
D
208

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