WorksheetsMid-Cycle 5 Study Guide
Total questions: 19
Worksheet time: 37mins
An office manager wants to buy extra desks and chairs for the office. Each desk costs $100, and each chair costs $50. Given that her total budget is $1,500, which of the following best represents the number of desks, x, and the number of chairs, y, she can buy? Complete the sentence below.
A. 50x + 50y < 1,500
B. 100x + 100y > 1,500
C. -100x + -50y < 1,500
D. 100x + 50y ≤ 1,500
Which section of the graph represents the solution set of the system of inequalities shown here?
Section A
Section B
Section C
Section D
Complete the statement to describe the solution to the following system of equations.
10x - 4y = 18
5x - 2y = 9
This system of equations has:
no solution.
one solution.
infinitely many solutions.
Which expression is equivalent to x² - 2x - 15?
(x - 20)(x + 5)
(x + 3)(x - 5)
(x + 20)(x - 5)
(x + 5)(x - 3)
A square with a side length of 2x + 5 is shown. Which expression represents the area of the square?
4x² + 25
4x² - 20x + 25
4x² + 20x + 25
4x² - 25
What is the simplified form of the expression xx2+2x , if x does not equal 0?
x + 2
x2+2
2x + 2
x2+x
What is the value of "y" in the solution to this system of equations?
3y + x = -9
x = -2y + 18
27
-9
0
-27
Which inequality represents this graph?
3x - 2y < = 7
4x - 6y < = 21
3x - 2y > = 7
4x - 6y > = 21
A system of linear inequalities is shown below.
2x + 4y > = -16
5x - y > = 4
Which of the following shows the solution set of this system of inequalities?
Which system of equations is represented by lines q and v?
21x - y = 9, 5x + 6y = 40
3x - y = -27, x + 2y = 16
21x - y = 9, 5x + 6y = 20
9x - y = -27, x + 2y = 8
Which expressions are equivalent to 6x^2 + 36x +54? Select TWO correct answers.
6(x−3)2
6(x+3)2
3(x2−6x+9)
6(x2+6x+9)
3(x−9)2
The diagram shows the floor plan of a storage facility. The length of the floor plan is (4x + 2) feet and the width of the floor plan is (2x - 1) feet. Which expression represents the area of the storage facility in square feet?
8x² + 8x - 2
8x² - 8x - 2
8x² - 2
8x² + 2
What is the result when 10x² - 4x is divided by 2x, if x ≠ 0?
5x - 2
5x + 2
-5x
- 2
The junior class at Summerfield High School sold a total of 375 tickets for their spring festival. The adult tickets sold for $7.50 each and the student tickets sold for $4.50 each. If the junior class collected $2,212.50 in ticket sales, how many student tickets did the class sell?
150
175
200
225
Which of the following shows the solution set of this system of inequalities?
x - 3y < 4
3y - 2x < -2
Which expression is equivalent to (n - 4)(2n + 7)?
3n + 3
n - 28
2n2−15n−28
2n2−n−28
What is the quotient represented by the expression (8w2−20w−12)/(2w+1) for all values of w where the expression is defined?
4w + 12
4w - 12
w - 3
w + 3
Which inequality could represent this table of values?
y ≥ 3/2x - 4
y ≥ 2/3x + 8/3
y ≥ 4/5x - 2
y ≥ 5/4x + 3/2
Which system of equations represents line n and line p?
3x - y = 2 and 2x + y = 4
3x + y = -2 and 2x + y = 4
3x - y = 2 and x + 2y = 4
3x + y = -2 and x + 2y = 4
