Question 1

Solve the problem.
-Two angles have a sum of $91^{\circ}$. Their difference is $21^{\circ}$. Find the angles.

Accepted Answer

A)  $71^{\circ}$ and $20^{\circ}$ 
B)  $54^{\circ}$ and $37^{\circ}$ 
C)  $37^{\circ}$ and $58^{\circ}$ 
D)  $56^{\circ}$ and $35^{\circ}$ 
A)  $71^{\circ}$ and $20^{\circ}$ 
B)  $54^{\circ}$ and $37^{\circ}$ 
C)  $37^{\circ}$ and $58^{\circ}$ 
D)  $56^{\circ}$ and $35^{\circ}$ D

Question 2

Solve the problem.
-Anne and Nancy use a metal alloy that is $17.3 \%$ copper to make jewelry. How many ounces of a $13 \%$ alloy must be mixed with a $20 \%$ alloy to form 70 ounces of the desired alloy?

Accepted Answer

A)  29 ounces 
B)  48 ounces 
C)  27 ounces 
D)  43 ounces 
A)  29 ounces 
B)  48 ounces 
C)  27 ounces 
D)  43 ounces C

Question 3

Solve using the elimination method.
-$6 x+5 y=2$
$8 x-5 y=96$

Accepted Answer

A)  $(-8,7)$ 
B)  $(-7,-8)$ 
C)  $(7,-8)$ 
D)  $(8,7)$ 
A)  $(-8,7)$ 
B)  $(-7,-8)$ 
C)  $(7,-8)$ 
D)  $(8,7)$ C

Question 4

Solve the problem.
-The difference between two numbers is 6 . Twice the smaller number plus twice the larger is 32 . What are the numbers?

Accepted Answer

A)  6 and 12 
B)  3 and 9 
C)  5 and 11 
D)  4 and 10 
A)  6 and 12 
B)  3 and 9 
C)  5 and 11 
D)  4 and 10

Question 5

Solve by the substitution method.
-$x+2 y=2$
$6 x+3 y=3$

Accepted Answer

A)  $(-1,0)$ 
B)  $(1,0)$ 
C)  No solution 
D)  $(0,1)$ 
A)  $(-1,0)$ 
B)  $(1,0)$ 
C)  No solution 
D)  $(0,1)$

Question 6

Solve by the substitution method.
-$7 x+5 y=38$
$3 x+2 y=16$

Accepted Answer

A)  $(4,3)$ 
B)  No solution 
C)  $(3,3)$ 
D)  $(4,2)$ 
A)  $(4,3)$ 
B)  No solution 
C)  $(3,3)$ 
D)  $(4,2)$

Question 7

Solve the system by graphing.
-x + y = 6 x - y = -12

Accepted Answer

A)  No solution 
B)  $(-3,9)$ 
C)  Infinite number of solutions 
D)  $(9,-3)$ 
A)  No solution 
B)  $(-3,9)$ 
C)  Infinite number of solutions 
D)  $(9,-3)$

Question 8

Write the word or phrase that best completes each statement or answers the question.
-$2 x+3 y=-1$
$4 x+2 y=-3$
What number would you multiply the top equation by to eliminate the $x$ terms?

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Decide whether or not the ordered pair is a solution of the system.
-$(-6,-3)$
$2 x+y=-9$
$4 \mathrm{x}+2 \mathrm{y}=-18$

Accepted Answer

A) True 
 B)False

Question 10

Decide whether or not the ordered pair is a solution of the system.
-$(10,6)$
$y=\frac{3}{5} x$
$2 \mathrm{x}+\mathrm{y}=14$

Accepted Answer

A) True 
 B)False

Question 11

Solve by elimination.
-$2 x-5 y=-220$
$0)06 x+0.2 y=6$

Accepted Answer

A)  $(-19,35)$ 
B)  $(19,40)$ 
C)  $(20,-36)$ 
D)  $(-20,36)$ 
A)  $(-19,35)$ 
B)  $(19,40)$ 
C)  $(20,-36)$ 
D)  $(-20,36)$

Question 12

Solve the problem.
-There were 34,000 people at a ball game in Los Angeles. The day's receipts were $\$ 232,000$. How many people paid $\$ 12$ for reserved seats and how many paid $\$ 4$ for general admission?

Accepted Answer

A)  24,000 paid $\$ 12$ and 10,000 paid $\$ 4$ 
B)  22,000 paid $\$ 12$ and 12,000 paid $\$ 4$ 
C)  10,000 paid $\$ 12$ and 24,000 paid $\$ 4$ 
D)  12,000 paid $\$ 12$ and 22,000 paid $\$ 4$ 
A)  24,000 paid $\$ 12$ and 10,000 paid $\$ 4$ 
B)  22,000 paid $\$ 12$ and 12,000 paid $\$ 4$ 
C)  10,000 paid $\$ 12$ and 24,000 paid $\$ 4$ 
D)  12,000 paid $\$ 12$ and 22,000 paid $\$ 4$

Question 13

Solve by the substitution method.
-$x+y=9$
$2 x+2 y=18$

Accepted Answer

A)  $(0,0)$ 
B)  Infinite number of solutions 
C)  $(9,0)$ 
D)  $(9,2)$ 
A)  $(0,0)$ 
B)  Infinite number of solutions 
C)  $(9,0)$ 
D)  $(9,2)$

Question 14

Solve the system by graphing.
-$x=-y$
$y+x=6$

Accepted Answer

A)  $(1,1)$ 
B)  Infinite number of solutions 
C)  $(1,5)$ 
D)  No solution 
A)  $(1,1)$ 
B)  Infinite number of solutions 
C)  $(1,5)$ 
D)  No solution

Question 15

Solve the system by graphing.
-$9 x+y=27$
$9 x+y=81$

Accepted Answer

A)  Infinite number of solutions 
B)  $(18,9)$ 
C)  $(25,-198)$ 
D)  No solution 
A)  Infinite number of solutions 
B)  $(18,9)$ 
C)  $(25,-198)$ 
D)  No solution

Question 16

Solve by elimination.
-$x+y=9$
$x-y=-3$

Accepted Answer

A)  $(-3,7)$ 
B)  $(3,6)$ 
C)  No solution 
D)  $(2,7)$ 
A)  $(-3,7)$ 
B)  $(3,6)$ 
C)  No solution 
D)  $(2,7)$

Question 17

Solve the problem.
-The speed of a stream is $6 \mathrm{mph}$. If a boat travels 70 miles downstream in the same time that it takes to travel 35 miles upstream, what is the speed of the boat in still water?

Accepted Answer

A)  $20 \mathrm{mph}$ 
B)  $21 \mathrm{mph}$ 
C)  $12 \mathrm{mph}$ 
D)  $18 \mathrm{mph}$ 
A)  $20 \mathrm{mph}$ 
B)  $21 \mathrm{mph}$ 
C)  $12 \mathrm{mph}$ 
D)  $18 \mathrm{mph}$

Question 18

Solve the problem.
-Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $\$ 120$ for 3 days and 300 miles, while Mary was charged $\$ 223$ for 5 days and 600 miles. What does Best Rental charge per day and per mile?

Accepted Answer

A)  $\$ 23$ per day and $ ?17 $ per mile 
B)  $\$ 16$ per day and $ ?24$ per mile 
C)  $\$ 18$ per day and $ ?24 $ per mile 
D)  $\$ 17$ per day and $ ?23 $ per mile 
A)  $\$ 23$ per day and $ ?17 $ per mile 
B)  $\$ 16$ per day and $ ?24$ per mile 
C)  $\$ 18$ per day and $ ?24 $ per mile 
D)  $\$ 17$ per day and $ ?23 $ per mile

Question 19

Solve using the substitution method.
-$y=4 x+3$
$3 x+y=3$

Accepted Answer

A)  $(3,0)$ 
B)  $(-1,-1)$ 
C)  $(0,3)$ 
D)  $(3,-6)$ 
A)  $(3,0)$ 
B)  $(-1,-1)$ 
C)  $(0,3)$ 
D)  $(3,-6)$

Question 20

Solve by the substitution method.
-$7 x+46=8 y$
$-2 x+5 y=24$

Accepted Answer

A)  $(-2,5)$ 
B)  $(-2,4)$ 
C)  $(-3,5)$ 
D)  No solution 
A)  $(-2,5)$ 
B)  $(-2,4)$ 
C)  $(-3,5)$ 
D)  No solution

Solve the problem. -Two angles have a sum of $91^{\circ}$ . Their difference is $21^{\circ}$ . Find the angles.

Solve the problem. -Anne and Nancy use a metal alloy that is $17.3 \%$ copper to make jewelry. How many ounces of a $13 \%$ alloy must be mixed with a $20 \%$ alloy to form 70 ounces of the desired alloy?

Solve using the elimination method. - $6 x+5 y=2$ $8 x-5 y=96$

Solve the problem. -The difference between two numbers is 6 . Twice the smaller number plus twice the larger is 32 . What are the numbers?

Solve by the substitution method. - $x+2 y=2$ $6 x+3 y=3$

Solve by the substitution method. - $7 x+5 y=38$ $3 x+2 y=16$

Solve the system by graphing. -x + y = 6 x - y = -12

Write the word or phrase that best completes each statement or answers the question. - $2 x+3 y=-1$ $4 x+2 y=-3$ What number would you multiply the top equation by to eliminate the $x$ terms?

Decide whether or not the ordered pair is a solution of the system. - $(-6,-3)$ $2 x+y=-9$ $4 \mathrm{x}+2 \mathrm{y}=-18$

Decide whether or not the ordered pair is a solution of the system. - $(10,6)$ $y=\frac{3}{5} x$ $2 \mathrm{x}+\mathrm{y}=14$

Solve by elimination. - $2 x-5 y=-220$ $0)06 x+0.2 y=6$

Solve the problem. -There were 34,000 people at a ball game in Los Angeles. The day's receipts were $\$ 232,000$ . How many people paid $\$ 12$ for reserved seats and how many paid $\$ 4$ for general admission?

Solve by the substitution method. - $x+y=9$ $2 x+2 y=18$

Solve the system by graphing. - $x=-y$ $y+x=6$

Solve the system by graphing. - $9 x+y=27$ $9 x+y=81$

Solve by elimination. - $x+y=9$ $x-y=-3$

Solve the problem. -The speed of a stream is $6 \mathrm{mph}$ . If a boat travels 70 miles downstream in the same time that it takes to travel 35 miles upstream, what is the speed of the boat in still water?

Solve the problem. -Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $\$ 120$ for 3 days and 300 miles, while Mary was charged $\$ 223$ for 5 days and 600 miles. What does Best Rental charge per day and per mile?

Solve using the substitution method. - $y=4 x+3$ $3 x+y=3$

Solve by the substitution method. - $7 x+46=8 y$ $-2 x+5 y=24$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 13: Systems of Equations

Solve the problem. -Two angles have a sum of 91∘91^{\circ}91∘ . Their difference is 21∘21^{\circ}21∘ . Find the angles.

Solve the problem. -Anne and Nancy use a metal alloy that is 17.3%17.3 \%17.3% copper to make jewelry. How many ounces of a 13%13 \%13% alloy must be mixed with a 20%20 \%20% alloy to form 70 ounces of the desired alloy?

Solve using the elimination method. - 6x+5y=26 x+5 y=26x+5y=2 8x−5y=968 x-5 y=968x−5y=96