Solving Equations
If x=40, what is the value of x+6
46
In the xy- plane, like k passes through the points, (0, -5) and (1,-1). Which equation defines line k?
y=4x-5
The International Space Station orbits Earth at an average speed of 4.76 miles per second. What is the space station’s average speed in miles per hour?
17,136.0
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 on that day to fulfill the daily goal?
6
The expression 2x2 +ax is equivalent to x(2x+7) for some constant a. What is the value of a?
7
4x+5=165
What is the solution to the given equation?
40
x y
1 5
2 7
3 9
4 11
The table above shows some pairs of x values and y values. What is the equation of the line in slope intercept form?
y=2x+3
A kangaroo has a mass of 28 kilograms. What is the kangaroo's mass in grams? (1 kilogram =1000 grams)
28,000
On a car trip, Rhett and Jessica each drove for part of the trip, and the total distance they drove was under 220 miles. Rhett drove at an average speed of 35 miles per hour, and Jessica drove at an average speed of 40 miles per hour. Write an inequality to represent this situation where r is the number of hours Rhett drove and j is the number of hours Jessica drove.
35r+40j<220
2x2+5x-12
If the given expression is rewritten in the form (2x-3)(x+k) where k is a constant, what is the value of k?
4
Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?
12
An artist paints and sells square tiles. The selling price P in dollars, of a painted tile is a linear function of the side length of the tile s, in inches, as shown in the table below.
Side Length s (inches) Price, P (dollars)
3 8
6 18
9 28
p=10/3s-2
Food Protein Cost
1 large egg 6 $0.36
1 cup of milk 8 $0.24
The table above shows the amount protein in two foods and the cost of each food. Based on the table, what is the ratio of the cost per gram of protein in a large egg to the cost per gram of protein in a cup of milk?
2:1
y>2x-1
2x>5
Which of the following consists of the y-coordinates of all points that satisfy the system of inequalities above?
y>6
y>4
y>5/2
y>3/2
y>4
(2x+5)2-(x-2)+2(x+3)
Simplify the following expression.
4x2+21+33
If 2(3t-10)+t=40+4t, what is the value of 3t?
60
x+y=75
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
The total number of minutes spent running and biking each day.
Which expression represents the result of increasing a positive w by 43%
1.43w
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 system of inequalities models the situation?
x+y>=20
3x+4y<=80
Simplify the following expression: 20w-(4w+3w)
13w
5(t+3)-7(t+3)=38
-22
x y
18 130
23 160
26 178
For line h, the table shows three values of x and their corresponding values of y. Linke k is the result of translating line h down 5 units in the xy-plane. What is the x-intercept of line k?
(-17/6, 0)
The regular price of a shirt at a store is $11.70. The sale price of the shirt is 80% less than the regular price, and the sale price is 30% greater than the store's cost for the shirt. What was the store's cost, in dollars, for the shirt?
1.8, 9/5
The point (8,2) in the xy-plane is a solution to which of the following systems of inequalities?
a. x>0, y>0
b x>0, y<0
c x<0, y>0
d x<0, y<0
x>0, y>0
Simplify the following expression: 2(ab-3)+2
2ab-4