Solve for x
Word Problems
Linear Equations
100
Solve for x.

3x - 18 = 30
x = 16
100
When digging into the earth, the temperature rises according to the following equation:

t = 15 + 0.01 h

t is the increase in temperature in degrees and h is the depth in meters

What the temperature will be at 100 m depth?
The temperature would be 16 degrees at 100 m deep.
100
Which statement explains why the numerical pattern below is a linear progression?

1, 4, 7, 10 ...

a. The pattern has a constant rate of change.

b. The pattern starts with 1.

c. The pattern continues infinitely.

d. The pattern is positive.
a. The pattern has a constant rate of change.
200
Solve for x.

8x + 4 - x = 18 + 3x - 4
x = 3
200
The equation below shows information about the growth of a newborn puppy in Marta's Pet Shop. If the puppy continues to grow at a steady rate, how tall should it be in 8 weeks? Where x is the number of weeks past, and y is the height of the puppy in inches.

y = 1/2x
The puppy will be 4.0 inches tall in 8 weeks.
200
Which equation could produce all the values show below?
xy
-14
2-5
8-23

a. y = -4x

b. y = 4x

c. y = -3x + 1

d. y = 3x + 1
c. y = -3x + 1
300
Solve for x.

30 = 3x + 2
x = 6
300
Tia has a goldfish pond in her backyard. She has a white goldfish that is 11 inches long. THis is 3 inches more than twise the length of her orange goldfish. This relationship can be represented by the equation below, where x is the length of the orange goldfish. What is the length of the orange goldfish?

2x+ 3 = 11
4 inches

The length of the orange goldfish is 4 inches.
300
What ordered pair represents the solution to this system of equations?

y = -3x + 21

y = 5x + 5

a. (13, 70)

b. (70, 13)

c. (15, 2)

d. (2, 15)
d. (2, 15)
400
If 44 / 2 = x + 8, what is the value of x?
x = 14
400
The length of a rectangle is 16 inches longer than its width. If the perimeter of the rectangle is 540 inches. What is the length in inches?

a. 111 inches

b. 127 inches

c. 135 inches

d. 143 inches
b. 127 inches
400
Which numerical pattern is a linear progression?

a. 1/2, 2/3, 3/4, 4/5 ...

b. 18, 26, 34, 42 ...

c. -10, -20, -40, -80
b. 18, 26, 34, 42 ...
500
Which expression CANNOT be solved for x?

a. 6/x = 10 - 8

b. 9(0) = 3x

c. 6 - 2(3) = x

d. x/0 = 15 - 9
D. x/0 = 15 -9
500
Three pounds of chicken can be purchased at the market for $18. Determine the equation and solve for x, when x is the cost of chicken based on its weight.
18 = 3x

$6 is the cost of 1 pound of chicken
500
In which set of ordered pairs, (x, y), is y NOT a function of x?

a. (7, 10), (10, 7)

b. (7, 10), (5, 10)

c. (5, 7), (7, 7), (7, 10)

d. (5, 5), (7, 7), (10, 10)
C. ( 5, 7), (7, 5), (7, 10)
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