Download Write an algebraic expression for each verbal expressions

Algebra 1 Chapter 5 Test (A)
Student name _____________________________ Per__
(100 points)
Parent signature _________________________________
Graph each system of equations. Then determine whether the system has no solution,
infinitely many solutions or one solution. If the system has one solution, name it. Write the
answer on the answer line below the graph.
1
1) –2x + y = 3
2) y = x – 4
3) 3x + y = –2
4
5
–4x + 2y = 6
y=
x+2
y = –3x + 5
4
y
10
9
8
7
6
5
4
3
2
1
-10-9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
10
9
8
7
6
10
9
8
7
6
5
4
3
2
1
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10
x
-10-9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1) ___________________
1 2 3 4 5 6 7 8 9 10
2) __________________
x
-10-9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1 2 3 4 5 6 7 8 9 10
x
3) _________________
Solve each system of equations by SUBSTITUTION.
4)
2x + y = 6
y+x=5
5)
y–2=x
3x + 2y = 9
4) ___________
5) ___________
Solve each system of equations by ELIMINATION.
6)
8)
4x – 2y = 2
3x + 2y = 12
7)
2x – 5y = –19
3x + 4y = 6
9) –4x + 5y = –8
2x – 3y = 4
10) Solve the following equation.
3x + 2y = 7
3x – 4y = –5
–3x – 5(2 – x) = –4(x + 1)
6) ___________
7) ___________
8) ___________
9) ___________
10) __________
Solve each system of equations by the method of your choice.
11)
x + 5y = 7
2x + 5y = 4
12) 3x + y = 13
2x = 4y + 18
11) __________
12) __________
13)
a + 3b = 2
–a + 2b = 3
14) –4c + 5d = –30
2c – 15d = –10
13) __________
14) __________
Solve each of the following word problems by first writing a system of equations.
15) Your favorite movie is playing at the local theater. Tickets cost $8 for adults and $5 for
students. Last weekend 85 people attended the movie and the theater brought in $545 in sales.
How many adult tickets and student tickets were sold?
Equation 1: ________________
Equation 2: ________________
Answer: _________________________________________________________________
16) Amy’s age is eight years less than four times Mary’s age. If the sum of their ages is 52,
how old is each girl?
Equation 1 _____________________
Equation 2 ____________________
Answer _________________________________________________________________
17) Find the slope of the line that passes through
the points (–2, 8), (–2, 1).
17) ________________
18) Write y – 3 = –6(x + 4) in slope-intercept form.
18) ________________
Ch 5 Version A
Algebra 1 Chapter 5 Test Version A
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
infinitely many solutions
(4,-3)
no solution
(1,4)
(1,3)
(2,3)
(1,2)
(-2,3)
(2,0)
1
(-3,2)
(5,-2)
(-1,1)
(10,2)
a + s = 85
8a + 5s = 545
40 adults, 45 students
a + m = 52
a = 4m – 8
Amy is 40 and Mary is 12.
undefined
y = -6x - 21
Ch 5 Version A