Equations
Create equations and inequalities
Mixed Quadratic Equation
Mixed algebra 1
Mixed algebra 2
100
Simplify the expression.
(3x2−4x+9)−(5x2+3x−4)
−2x2−7x+13
100
An executive at a company expects sales of a new product to increase by 20% per year. Sales of the product were $110,000 at the end of the first year.
What are the expected sales of the product at the end of the third year?
A. $154,000
B. $158,400
C.$176,000
D.$180,400
$158,400
100
This question has two parts.
The volume, V, of a cylinder with radius r and height hh can be found using this equation.
V=πr2h
Rearrange the equation to solve for h.
h = V/ (πr2)
100
Which of the following is equivalent to this expression?
4k4+16k3+10k2
A.4k2(k2+4k+2)
B.2k2(2k2+8k+5)
C.2(2k4+14k3+8k2)
D.2k2(2k2+16k+10)
B.2k2(2k2+8k+5)
100
Simplify this expression.
(x3y5)4 (x3y2)-2
Drag and drop an exponent into each box to correctly complete the expression. Each value may be used once, more than once, or not at all.
1, 5 , 6 , 12, 16, 18, 24
x6y16
200
Simplify the expression.
14−2(x−4)
22−2x
200
Grayson and Rosette both collect rare books. Grayson owns 23 rare books and Rosette owns 31 rare books. They are each planning to add to their collection by purchasing more books.
- Grayson will purchase 33 books per week.
- Rosette will purchase 11 book per week.
How many books will Grayson and Rosette each own when their collections have the same number of books?
A) 33
B) 35
C) 43
D) 54
B) 35
200
What is the solution of this equation?
3(x+5)=5x−73(x+5)=5x-7
A. x=−1
B. x=4
C. x=6
D. x=11
x = 11
200
Which of the following equations represents a line that has a positive slope and a negative y-intercept?
A.3x+y=−6
B.3x+y=6
C.−3x+y=−6
D.−3x+y=6
C.−3x+y=−6
200
A worker at the Rainbow Garden Center planted multiple rows of flowers.
- There are 3 flowers in the first row.
- Each of the remaining rows has 4 more flowers than the previous row.
Determine the number of flowers in rows 20 and 35.
79 and 139
300
Simplify the expression.
7−2(4x−3y)
7−8x+6y
300
All the students in Mr. Greene’s class are either 17 years old or 18 years old.
- There are a total of 20 students in Mr. Greene’s class.
- The sum of the ages of the 20 students is 345 years.
What is the total number of 17-year-old students in Mr. Greene’s class?
A) 55
B) 88
C) 12
D) 15
D) 15
300
Which of the following is the solution set of this inequality?
2−4y>14
A.y>−3
B.y<−3
C.y>3
D. y<3
B. y<−3
300
A customer purchased a pumpkin at a farm stand.
- The customer paid $1.38 per pound for the pumpkin.
- The mass of the pumpkin was 4.8kilograms, rounded to the nearest tenth of a kilogram.
Which of the following could have been the total amount the customer paid for the pumpkin?
- A.
$6.62
- B.
$9.66
- C.
$13.32
D.
$14.46
D.
$14.46
300
An arithmetic sequence is represented by this function.
f(n)=3+2n
What is the fifth term of the sequence?
A.13
B.17
C.25
D.35
A.13
400
Simplify the expression.
−3x(−y+4)
−12x+3xy
400
Consider this system of equations.
h+c=2.25
h−c=1.75
What value of h makes the system of equations true?
h = _________
2
400
What are the solutions of this equation?
4x(x−8)=0
A. x=−4; x=8
B. x=0; x=−8
C. x=0; x=8
D. x=4; x=−8
C. x=0; x=8
400
Duane earned $607.50 for 37.5 hours of work. Which of the following is closest to the amount of money, in dollars, he earned per hour?
A.$12
B. $16
C. $20
D. $24
B. $16
400
An arithmetic sequence is represented by this function.
f(n)=3n+1
Which of the following sequences is represented by the function for n=1 through n=4?
A.3, 6, 12, 24
B.4, 7, 10, 13
C.4, 10, 28, 82
D.6, 9, 12, 15
B. 4, 7, 10, 13
500
Simplify the expression.
−5x(−6x2+1)
30x3−5x
500
Consider this expression.
8x2+16x+24
Which of the following is equivalent to the expression?
A.8(x2+16x+24)
B.8(x2+2x)+3
C.8(x2+2x+3)
D.8(x2+5x)
C.8(x2+2x+3)
500
What are the solutions of this equation?
(x−5)(x+7)=0
A.−5 and −7
B. -5 and 7
C. 5 and −7
D. 5 and 7
C. 5 and −7
500
A candidate received 59% of the votes cast in an election. In the election, 76% of the 39,881 registered voters cast a vote.
Which of the following is closest to the total number of people who cast a vote for the candidate in the election?
A.12,000
B.14,000
C.16,000
D.18,000
D.18,000
500
Consider this expression.
Which of the following is equivalent to the expression?
- A.
- B.
- C.
- D.
- B.