Download Practice Set 3 - Net Start Class

Algebra 1 STAAR Review: Lesson 3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1 Tell whether the lines representing the equations
4 Samuel is thinking of two numbers. The first
below are parallel, perpendicular, or neither.
number is 4 more than 3 times the second number.
When Samuel adds the first number to double the
second number, he gets 49. What are Samuel’s two
numbers?
A perpendicular
B parallel
C neither
2 The perimeter of a rectangular wooden deck is 90
feet. The deck’s length, l, is 5 feet less than 4 times
its width, w. Which system of linear equations can
be used to determine the dimensions, in feet, of the
wooden deck?
A
A
B
C
D
31 and 9
29 and 10
25 and 12
19 and 5
5 Anna counts her coins and finds that she has 55
coins with a total value of $9.25. If all of the coins
are either quarters or dimes, which system of
equations below can be used to calculate the
number of dimes (d) and quarters (q) that Anna
has?
A
B
B
C
D
C
D
3 Solve each system. Tell whether the system has no
solution, one solution, or infinitely many solutions.
y = 5x – 4
y = 5x – 5
A no solutions
B one solution
C infinitely many solutions
6 The graph of the equation
below.
is shown
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
8 An ice skating arena charges an admission fee for
each child plus a rental fee for each pair of ice
skates. John paid the admission fees for his six
nephews and rented five pairs of ice skates. He was
charged $32.00. Juanita paid the admission fees for
her seven grandchildren and rented five pairs of ice
skates. She was charged $35.25. What is the
admission fee? What is the rental fee for a pair of
skates?
–5
A admission fee: $3.25
skate rental fee: $2.50
If you were to graph
on the same axes,
which ordered pairs would be the solution to the
system of equations?
A
B
C
D
7 Let x and y be two supplementary angles, where the
measure of x is three times the measure of y. Which
system of equations below could be used to find the
measures of the two angles?
A
B
C
D
B admission fee: $3.50
skate rental fee: $3.00
C admission fee: $3.00
skate rental fee: $2.00
D admission fee: $4.00
skate rental fee: $3.50
9 Alicia began to solve this system of equations by
graphing:
However, shortly after she began, she noticed a
relationship between the two equations and
concluded that the system of equations had no
solution.
Was Alicia's conclusion reasonable? Which of the
following gives the best answer and reason?
A Alicia's conclusion was reasonable because she
saw that one equation is a multiple of the other,
making the lines when graphed parallel to each
other, thus having no solution.
B Alicia's conclusion was reasonable because the
coefficients of x and the constants are the same.
C Alicia's conclusion was not reasonable because
all systems of equations have at least one
solution.
D Alicia's conclusion was not reasonable because
the equations represent the same line and thus
have an infinite number of solutions in
common.
10 Matt and Nick are playing a computer game. The table below shows how their score totals are changing over
time.
Time (Minutes) t
0
1
2
3
4
5
Matt’s Score
800
860
920
980
1,040
1,100
Nick’s Score
500
580
660
740
820
900
If the total scores continue to change in the same way, after what number of minutes will the scores for Matt and
Nick be equal?
A 10
B 15
C 20
D 25
Algebra 1 STAAR Review: Lesson 3
Answer Section
MULTIPLE CHOICE
1 ANS: C
2 ANS: D
STA: A.8.A
3 ANS: A
STA: A.8.B
4 ANS: A
5 ANS: A
6 ANS: C
7 ANS: D
8 ANS: A
STA: A.8.B
9 ANS: D
10 ANS: B
PTS: 1
PTS: 1
STA: A.6.B
DIF: 3
OBJ: 6-2 Solving Systems by Substitution
PTS: 1
DIF:
1
OBJ: 6-4 Solving Special Systems
PTS:
PTS:
PTS:
PTS:
PTS:
STA:
STA:
STA:
STA:
DIF:
A.8.C
A.8.A
A.8.B
A.8.A
3
OBJ: 6-3 Solving Systems by Elimination
1
1
1
1
1
PTS: 1
PTS: 1
STA: A.8.C
STA: A.8.B