Linear equations in one variable
what is the solution to the equation 4x+8=12
x=1
For the function, f, the graph of y=f(x) in the xy-plane has a slope of 3 and passes through the point (0,-8). Which equation defines f?
a. 3x
b. 3x-8
c. 3x+5
d. 3x+11
b. 3x-8
At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G Green tokens and R red tokens worth 380 points. How many more points is a red token worth that a green token?
5G+45R=380
40
what is the solution to the given system of equations?
y=2x+3
x=1
a. (1,2)
b. (1,5)
c. (2,3)
d. (2,7)
b. (1,5)
normal body temperature for an adult is between 97.8 and 99 degrees. If kevin, an adult male, had a body temperature that is considered to be normal, which of the following could be his body temperature?
a. 96.7
b. 97.6
c. 97.9
d. 99.7
c. 97.9
if x/16=24, what is the value of 16/x?
1/24
The given equation represents the distance d, in inches, where t represents the number of seconds since an object started moving. Which of the following is the best interpretation of 16 in this context?
d=16t
a. the object moved a total of 16 inches.
b. the object moved a total of 16t
c. the object is moving at a rate of 16 inches per second
d. the object is moving at a rate of 1/16 inches per second.
the object is moving at a rate of 16 inches per second
in the xy-plane, line k passes through the points (0,-5) and (1,-1). which equation defines line k?
a. y=-x+1/4
b. y=1/4x-5
c. y=-x+4
d. y=4x-5
d. y=4x-5
what is the solution to the given equations?
x=5
y=x-8
a. (0,0)
b. (5,-3)
c. (5, -8)
d. (5,8)
b. (5,-3)
ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, ty plans to walk at an average speed of 4 kilometers per hour. what is the minimum number of hours ty must walk to fulfil that daily goal?
a. 4
b. 6
c. 20
d. 24
b. 6
Henry receives a $120.00 gift card to pay for movies online. He uses his gift card to buy 3 movies for $15.00 each. If he spends the rest of his gift card balance on renting movies for $1.50 each, how many movies can Henry Rent?
50
Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38 miles. what was the total amount robert was charged?
$46.60
a gardener buys two kinds of fertilizer. A contains 60% filer materials by weight and B contains 40% filler materials by weight. together they contain a total of 240 pounds. which equation represents this?
a. 0.4x+0.6y=240
b. 0.6x+0.4y=240
c. 40x+60y=240
d. 60x+40y=240
b. 0.6x+0.4y=240
what is the value of y in the system of equations?
x+y=20
2(x+y)+3y=85
a. 10
b.15
c. 60
d. 65
b. 15
an elementary school teacher is ordering x workbooks and y sets of flash cards for a math class. the teacher must order at least 20 items, but the total cost of the order must not be over $80. if the workbooks cost $3 each and the flash cards cost $4 per set, which of the following is correct?
a. x+y>20, 3x+4y<80
b. x+y>20, 3x+4y>80
c. 3x+4y<20, x+y>80
d. x+y<20, 3x+4y>80
a. x+y>20, 3x+4y<80
A gym charges its members a onetime $50 enrollment fee and a membership fee of $10 per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of $200 at the gym?
15
for the given equation, the graph is parallel to the equation f(x)=2x+3. what is the slope?
2
the table above shows some pairs of x and y values. which of the following equations could represent the relationship between x and y?
x y
1 5
2 7
3 9
4 11
a. y=2x+3
b. y=3x-2
c. y=4x-1
d. y=5x
a. y=2x+3
A petting zoo sells two types of tickets. The Standard ticket, for admission only, costs $5. The premium ticket, which includes admission and food to give to the animals, costs $12. One Saturday, the petting zoo sold a total of 250 tickets and collected a total of $2,300 from ticket sales. select the correct system of equations
a. s+p=250, 5s+12p=2300
b. s+p=250, 12s+5p=2300
c. 5s+12p=250, s+p=2300
d. 12s+5p=250, s+p=2300
a. s+p=250, 5s+12p=2300
y>14
4x+y<18
what is the value of x?
a. -9
b. -5
c. 5
d. 9
a. -9
2x+8=20
A tree had a height of 8 feet when it was planted. The equation above can be used to find how many years n it took the tree to reach a height of 20 feet. Which of the following is the best interpretation of the number 2 in this context?
a. the number of years it took the tree to double its height
b. the average number of feet that the tree grew per year
c. the height, in feet, of the tree when the tree was 1 year old
d. the average number of years it takes similar trees to grow 14 feet.
b. the average number of feet that the tree grew per year
Year population
2000-862
2010-846
The table above shows the population of Greenleaf, Idaho for the years 2000 and 2010. If the relationship between population and year is linear, which of the following functions P models the population of Greenleaf t years after 2000?
a. 862-1.6t
b. 862-16t
c. 862+16(t-2,000)
d. 862-1.6(t-2,000)
a. 862-1.6t
what is the value of 5x?
y=5x
2x+y=12
a. 24
b. 15
c. 12
d.5
c. 12
an elementary school teacher is ordering x workbooks and y sets of flash cards for a math class. the teacher must order at least 40 items, but the total cost of the order must not be over $160. if the workbooks cost $6 each and the flash cards cost $8 per set, which of the following is correct?
a. x+y>40, 6x+8y<160
b. x+y>40, 6x+8y>160
c. 6x+8y<40, x+y>160
d. x+y<40, 6x+8y>160
a. x+y>40, 6x+8y<160