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Algebra 1 Xtra practice

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Define a variable and write an expression for the phrase.

1.

the quotient of 6 times a number and 16
 a. b. c. d. 2.

Evaluate the formula for B = 9 in.2 and h = 32 in.
 a. 288 in.3 b. 9.6 in.3 c. 32 in.3 d. 96 in.3

Simplify the expression.

3. (–12m + 38)
 a. m + 38 c. m + 76 b. –24m + d. m + 4.

Simplify 9 – 10 using a number line.
 a. b. c. d. 5.

The Johnsons want to cover their backyard with new grass. Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. However, their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. What is the area of the region of the yard that they want to cover with new grass?
 a. 6x2 – 55x + 104 ft2 c. 11x2 – 56x + 66 ft2 b. x2 + 6x – 16 ft2 d. 12x2 – 50x + 50 ft2

6.

Salvador’s class has collected 88 cans in a food drive. They plan to sort the cans into x bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.
 a. 88x c. b. 88 + x d. 88 – x

7.

Evaluate the expression qv for q = 5 and v = 1.
 a. 3 c. 5 b. 4 d. 6

8.

Tell whether the ordered pair (5, –3) is a solution of the system .
 a. no b. yes

9.

Solve by using substitution. Express your answer as an ordered pair.
 a. ( , ) c. ( , 5) b. ( , 1) d. ( , )

10.

Solve by using elimination. Express your answer as an ordered pair.
 a. (1, 2) c. (3, 0) b. (4, –1) d. (2, 1)

11.

Graph the solutions of the linear inequality .
 a. c. b. d. 12.

Graph the system of linear inequalities .
 a. c. b. d. 13.

Find the GCF of and .
 a. c. b. d. 14.

Factor the polynomial .
 a. c. Cannot be factored b. d. 15.

Factor .
 a. c. b. d. 16.

Factor by grouping.
 a. c. b. d. 17.

Identify the vertex of the parabola. Then give the minimum or maximum value of the function. a. The vertex is , and the minimum is 6. b. The vertex is , and the maximum is 6. c. The vertex is , and the maximum is 3. d. The vertex is , and the minimum is 3.

18.

Find the domain and range. a. D: R: all real numbers c. D: all real numbersR: b. D: all real numbersR: d. D: R: 19.

Find the zeros of the quadratic function from the graph. a. 1.5 c. –8 b. 4 and –1 d. 2 and –8

20.

Solve the equation x2 + 4x + 3 = 0 by graphing the related function.
 a. The solutions are 3 and 1. b. The solutions are 4 and 3. c. The solutions are –3 and –1. d. The solutions are –2 and –1.