Download key

Algebra 1: Final Review Homework
Name: _________________
**This completed and corrected packet is due on the day of your final
exam**
HW#40: 1-22 all
1.) Solve for x:
7  3  2 x  1   4 x  5   2 x 1
3.) Find three solutions of the
line in an
x-y chart. Graph the line
using these points.
2.) Solve for x and graph on
a number line: 5x 1  8x 11
y
10
9
8
7
6
5
4
2x – y = 6
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
4.) Graph the line to the right
by finding the x and y
intercepts:
2x  y  4
1
2
3
4
5
6
7
8
9 10
y
10
9
8
7
6
5
4
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6
7
8
9 10
-2
5.) Find the slope and yintercept of the line. Use
these values to graph the line
to the right:
-3
-4
-5
-6
-7
-8
-9
-10
y
10
2x – 3y = -6
9
8
7
6
5
4
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6
7
8
9 10
1
2
3
4
5
6
7
8
9 10
-2
-3
-4
-5
-6
-7
-8
-9
-10
y
10
6.) Graph these two lines on
the same graph to the right.
Find the slope of each line.
9
8
7
6
5
4
3
2
a) x = -5
slope = _____
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
b) y = 6
slope = _____
-7
-8
-9
-10
7.) Write the formula for
slope. Then use this formula
to find the slope of the line
passing through the pair of
points:
8.) Find the equation of the line passing
through the given point with the given
slope:
m = -4 (-5, 7)
a) slope = __________
b) (-2, -3) and (1, -7)
9.) Find the equation of the
10.) State whether the pair of lines is
line passing through the pair of parallel, perpendicular, or neither:
points:
4x – 2y = 6
(-1, 1) and (1, 2)
3x + 6y = 12
11.) .Find the equation of the
line parallel to
12.) Find the equation of the line
1
perpendicular to 4x – 3y = 6 and passing
y
x  5 and
3
through (1, 1)
passing through (3, -2)
13.) Find the equation of the
line through (-2, -3) and
perpendicular to y = 2x – 7
14.) Find the equation of the line through
(-2,1) and (1, 7)
y
Solve by graphing.
10
y  3x  5
15.)
9
8
2 y  3 x  8
7
6
5
4
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6
7
-2
-3
-4
-5
-6
-7
-8
-9
-10
Solve by substitution.
Solve by the addition method.
y  2 x  3
16.)
x  2y  9
2 x  3 y  12
17.)
3x  4 y  1
18.) The sum of two numbers is 16. Their difference is 2. Find the
numbers.
a) Write let statements defining your two variables
8
9 10
b) Write and SOLVE two equations using these variables
19.) Mrs. Spragg is one more than twice as old as David. The sum of their
ages is 46 years. Find their ages.
a) Write let statements defining the ages of Mrs. Spragg and David
let
David = ________
Mrs Spragg = ________
b) Write an equation using these expressions:
c) Solve the equation and write your answer as a complete sentence
20.) Dr. Doolittle often goes shopping for his pets. One day, he buys 3 cans
of cat food and 2 bags of dog food for $12.50. Another day, he buys 1 can
of cat food and 3 bags of dog food for $13.50. What is the cost of a can of
cat food? What is the cost of a bag of dog food?
a) Write let statements defining your two variables
b) Write two equations using these variables
c) Solve the system and write your answer as a complete sentence
For 21-22, complete the chart, write an equation, solve, and write your
answer in a complete sentence.
21.) Jerry and Kramer leave Manhattan at the same time and travel in
opposite directions. Kramer travels at 20 km/hr and Jerry travels at
40km/hr. In how many hours will they be 240 km apart?
a) Complete the chart:
Jerry
Kramer
b) Write one equation:
c) Solve and write your answer in a complete sentence:
22.) Han Solo and Luke Skywalker leave Endor at the same time and travel
in the same direction. Han travels at 20 mi/hr and Luke travels at 50 mi/hr.
In how many hours will they be 75 miles apart?
a) Complete the chart
Luke Skywalker
Han Solo
b) Write one equation:
c) Solve the equation and write your answer in a complete sentence:
*Please Stop: Homework #40 Ends Here*