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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.
mc001-1.jpg
b.
mc001-2.jpg
c.
mc001-3.jpg
d.
mc001-4.jpg
 

 2. 

Evaluate the formula mc002-1.jpg 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. 

mc003-1.jpg(–12m + 38)
a.
mc003-2.jpgm + 38
c.
mc003-4.jpgm + 76
b.
–24m + mc003-3.jpg
d.
mc003-5.jpgm + mc003-6.jpg
 

 4. 

Simplify 9 – 10 using a number line.
a.
mc004-1.jpg
b.
mc004-2.jpg
c.
mc004-3.jpg
d.
mc004-4.jpg
 

 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.
mc006-2.jpg
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 mc008-1.jpg.
a.
no
b.
yes
 

 9. 

Solve mc009-1.jpg by using substitution. Express your answer as an ordered pair.
a.
( mc009-18.jpg, mc009-19.jpg)
c.
(mc009-21.jpg, 5)
b.
(mc009-20.jpg, 1)
d.
(mc009-22.jpg, mc009-23.jpg)
 

 10. 

Solve mc010-1.jpg 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 mc011-1.jpg.
a.
mc011-7.jpg
c.
mc011-9.jpg
b.
mc011-8.jpg
d.
mc011-10.jpg
 

 12. 

Graph the system of linear inequalities mc012-1.jpg.
a.
mc012-2.jpg
c.
mc012-4.jpg
b.
mc012-3.jpg
d.
mc012-5.jpg
 

 13. 

Find the GCF of mc013-1.jpg and mc013-2.jpg.
a.
mc013-3.jpg
c.
mc013-5.jpg
b.
mc013-4.jpg
d.
mc013-6.jpg
 

 14. 

Factor the polynomial mc014-1.jpg.
a.
mc014-9.jpg
c.
Cannot be factored
b.
mc014-10.jpg
d.
mc014-11.jpg
 

 15. 

Factor mc015-1.jpg.
a.
mc015-6.jpg
c.
mc015-8.jpg
b.
mc015-7.jpg
d.
mc015-9.jpg
 

 16. 

Factor mc016-1.jpg by grouping.
a.
mc016-7.jpg
c.
mc016-9.jpg
b.
mc016-8.jpg
d.
mc016-10.jpg
 

 17. 

Identify the vertex of the parabola. Then give the minimum or maximum value of the function.

mc017-1.jpg
a.
The vertex is mc017-2.jpg, and the minimum is 6.
b.
The vertex is mc017-3.jpg, and the maximum is 6.
c.
The vertex is mc017-4.jpg, and the maximum is 3.
d.
The vertex is mc017-5.jpg, and the minimum is 3.
 

 18. 

Find the domain and range.

mc018-1.jpg
a.
D: mc018-3.jpg
R: all real numbers
c.
D: all real numbers
R: mc018-5.jpg
b.
D: all real numbers
R: mc018-4.jpg
d.
D: mc018-6.jpg
R: mc018-7.jpg
 

 19. 

Find the zeros of the quadratic function mc019-1.jpg from the graph.

mc019-2.jpg
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.
 



 
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