Mulitistep Problems
Linear Equations
Equation Problems
Binomials and Polynomials
Quadratic Equation
100
The total cost (c) in dollars of renting a sailboat in days is given by the equation c=120+60n. If the total cost was $360, for how many days was this sailboat rented? A.2 B.4 C.6 D.8
What is B.4
100
Which point lies on the line defined by 3x+6y=2? A.(0,2) B.(0,6) C.(1,-1/6) D.(1,-1/3)
What is C.(1,-1/6)
100
What is the solution to this system of equations A.(6,2) B.(1,-5) C.no solution D.infinetely
What is C.no solution
100
5x3/10x7 A.2x4 B.1/2x4 C.1/5x4 D.x4/5
What is B.1/2x4
100
If x2 is added to x,the sum is 42. Which of the following could be the value of x? A.-7 B.-6 C.14 D.42
What is A.-7
200
Solve:3(x+5)=2x+35 Step 1:3x+15=2x+35 Step 2:5x+15=35 Step 3:5x=20 Step 4:x=4 Which is the incorrect step in the solution shown above? A.Step 1 B.Step 2 C.Step 3 D.Step 4
What is B.Step 2
200
What's the equation of the line that has a slope of 4 and passes through the point (3,-10)? A.y=4x-22 B.y=4x+22 C.y=4x-43 D.y=4x+43
What is A.y=4x-22
200
What ordered pair is the solution to the system of the equations below?x+3y=7 and x+2y=10 A.(7/2,13/4) B.(7/2,17/5) C.(-2,3) D.(16,-3)
What is D.(16,-3)
200
The sum of the two binomials is 5x2-6x.If one of the binomials is 3x2-2x, what is the other binomials? A.2x2-4x B.2x2-8x C.8x2+4x D.8x-8x
What is A.2x2-4x
200
What quantity should be added to both sides of this equation to complete the square? x2-8x=5 A.4 B.-4 C.16 D.-16
What is C.16
300
A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope? A.20 feet B.40 feet C.60 feet D.80 feet
What is C.60 feet
300
The data in the table show the cost of renting a bicycle by the hour, including a deposit. Renting a Bicycle, Hours(h)2,5,8. Cost in dollars(c)15,30,45. If hours,h,were graphed on the horizontal axis and cost,c, were graphed on the vertical axis, what would be the equation of a line that fits the data? A.c=5h B.c=1/5h+5 C.c=5h+5 D.c=5h-5
What is C.c=5h+5
300
Marcy has a total of 100 dimes and quarters. If the toatl value of the coins is $14.05, how many quarters does she have? A.27 B.40 C.56 D.73
What is A.27
300
(4x2-2x+8)-(x2+3x-2)= A.3x2+x+6 B.3x2+x+10 C.3x2-5x+6 D.3x2-5x+10
What is D.3x2-5x+10
300
What are the solutions for the quadratic equation x2+6x=16? A.-2,-8 B.-2,8 C.2,-8 D.2,8
What is C.2,-8
400
The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day? A.2.5 B.3.7 C.7.0 D.13.0
What is C.7.0
400
Some ordered pairs for a linear function of x are given in the table below. x:1,3,5,7 y:1,7,13,19 Which of the following equations was used to generate the table above? A.y=2x+1 B.y=2x-1 C.y=3x-2 D.y=4x-3
What is C.y=3x-2
400
Which of the following best describes the graph of this system of equations?y=-2x+3 and 5y=-10x+15 A.two identical lines B.two parallel lines C.two lines intersecting in only one point D.two lines intersecting in only two points
What is A.two identical lines
400
Which of the following expressions is equal to (x+2)+(x-2)(2x+1)? A.2x2-2x B.2x2-4x C.2x2+x D.4x2+2x
What is A.2x2-2x
400
Leanne correctly solved the equation x2+4x=6 by completing the square. Which equation is part of her solution? A.(x+2)2=8 B.(x+2)2=10 C.(x+4)2=10 D.(x+4)2=22
What is B.(x+2)2=10
500
What is the solution to the inequality x−>514? A.x>9 B.x>19 C.x<9 D.x<19
What is B.x>19
500
What point lies on the line represented by the equation below? 5x+4y=22 A.(-2,11/4) B.(-1,17/4) C.(2,3) D.(6,2)
What is C.(2,3)
500
At what point do the lines represented by the equations 2x+y+1=0 and 4x+y-3=0 intersect? A.(2,5) B.(2,-5) C.(-1,1) D.(1,-1)
What is B.(2,-5)
500
A volleyball court is shaped like a rectangle. It has a width of x meters and a length of 2x meters. Which expression gives the area of the court in square meters? A.3x B.2x2 C.3x2 D.2x3
What is B.2x2
500
Carter is solving this equation by factoring. 10x2-25x+15=0 Which expression could be one of his correct factors? A.x+3 B.x-3 C.2x+3 D.2x-3
What is D.2x-3