Post on 31-Dec-2015
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Algebra Formative Review
March 24, 2010
Question #1
Which system of equations could be used to find the length of a rectangle that has a perimeter of 28 inches and has length that is two more than five times the width?
a. 2l + 2w = 28 b. 2l + 2w = 28l = 5w l = 5w + 2
c. l + w = 28 d. l + w = 28w = 5l w = 5l + 2
Question #2
The school cafeteria sells a hamburger meal for $5 and a vegetarian meal for $4. On Tuesday the cafeteria sold 3 more hamburger meals than vegetarian meals. The income from these sales was $357. Which system of equations can best matches this situation?
a. 5h + 4v = 357 b. 5h + 4v = 3v = h + 3 h = v + 357
c. 4h + 5v = 357 d. 5h + 4v = 357h = v – 3 h = v + 3
Question #3
Question #4
Question #5
Which is not a solution to the graph to the right?
a. (0, 0)
b. (2, 3)
c. (-3, -3)
d. (0, -5)
Question #6
What is the equation of a line that contains the point (-2, -14) and has a slope of 5?
(hint: Calculator table!!!)
a. y = 5x - 4
b. y = -4x + 5
c. y = x – 5
d. y = x + 4
Question #7
Which of the following best describes the solution(s) to the system of equations below?
x – 2y = 8
y = ½ x – 4
a. There is one solution
b. There are no solutions
c. There are infinite solutions
d. There are two solutions
Question #8
Which statement is true about the equations y = 5x – 2 and y = 5x + 6
a. They are perpendicular
b. They intersect
c. They are parallel
d. The system has infinite solutions
Question #9
The slope of the equation y = -6x + 4 is doubled and the y-intercept is cut in half. Which of the following statements best describes the graph of the new equation?
a. The graph is less steepb. The graph is shifted up 2 spacesc. The graph is steeperd. The graph remains the same
Question #10
Which statement best describes the range of the function to the right?
a. All real numbers b. R = {-1}c. R = {-1<y<15}d. All real numbers
greater than -1
Question #11
What is the equation of a line with a slope of -1 that passes through the point (-2, 8)?
(hint: y = mx + b form, use the table in your calculator!)
a. x + y = 6
b. -x + y = 6
c. x – 6 = y
d. None of the above
Question #12
The area of a rectangle can be represented by the equation A = 6(x - 5). What is a reasonable domain for this equation.
(hint: What values of the domain make the area a reasonable number?)
a. All real numbersb. x < 5c. x > 5d. x = 5
Question #13
What is the solution to the equation:
2x – 5(x + 2) < 2x + 5
(hint: Draw the river, distribute, combine like terms, move x’s to one side, move #’s to one side, solve for x)
a. x < -3
b. x > -3
c. x > 1
d. x < 1
Question #14
The high school is having a play. Adult tickets cost $5.00 and student tickets cost $3.50. The total amount of money collected was $337.50 and 75 total tickets were sold. How many adult tickets were sold?
(hint: have x = student and y = adult, make an equation for total money and one for total tickets sold. Change the equations to y = mx + b form, solve by finding the intersection)
a. 25 b. 50 c. 75 d. None of these
Question #15
Five adults and four children went to a movie and paid $37.50 for their tickets. Another 3 adults and one child went to the movies and paid $19.00. How much does one child ticket cost?
A. $5.50 B. $4.00 C. $2.50 D. $19