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Identify as an Equation or Expressions - Exam 2 | DSPM 0850, Exams of Algebra

Material Type: Exam; Class: DSPM 0850 - 301; Subject: Developmental Studies Math; University: Nashville State Technical Community College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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DSPM 0850
Test 2
Review
Identify as an equation or an expression.
1)
4
9x + 4 - 5
8x - 3
2)
-4x + 3 = 4x + 3
8
Solve the equation.
3)
x + 2
3 = x + 3
4
4)
x
16 - 5
8 = x + 6
8
5)
2
t = t
4t - 6
6)
- 2 x
2 x + 12 = 2 x
4 x + 24 + 2x - 1
x + 6
7)
1
m - 4 - 6
m + 4 = 3
m2 - 16
Solve for the specified variable.
8)
1
a + 1
b = 1
c for c
9)
P = A
1 + rt for r
Find the following.
One printer can do a printing job in
2 hours. Another printer can do the
same job in 15 hours. How long can
they do the job working together?
One maid can clean the house in 2
hours. Another maid can do the job
in 3 hours. How long will it take
them to do the job working
together?
A boat can go 88 mph in still water.
It takes as long to go 200 miles
upstream as it does to go
downstream 240 miles. How fast is
the current?
Find the x- and y-intercepts, if possible. Then
graph the equation.
25y - 5x = -10
4x - 8y = 8
x = 6
Find the slope of the line through the pair of
points.
(-5, -7) and (-6, -9)
(5, -9) and (-6, -1)
Find the slope of the line and sketch the
graph.
4x + 5y = 32
Graph the line described.
Through (-2, -4); m = 3
Decide whether the pair of lines is parallel,
perpendicular, or neither.
3x - 8y = 14 and 32x + 12y = 12
Find the equation in slope-intercept form of
the line satisfying the conditions.
m = - 2
9; y-intercept 0, 31
9
m = 5
2; y-intercept (0, -3)
Write the equation in slope-intercept form.
7x + 5y = 19
1
pf3
pf4
pf5

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DSPM 0850 Test 2 Review

Identify as an equation or an expression.

x + 4 -

x - 3

    • 4 x + 3 =

4 x + 3 8

Solve the equation.

  1. x + 2 3

= x + 3 4

  1. x 16

-^5

= x + 6 8

t

= t 4t - 6

  1. -2 x 2 x + 12

= 2 x 4 x + 24

  • 2 x - 1 x + 6

m - 4

m + 4

m2 - 16

Solve for the specified variable.

  1. 1 a

+^1

b

=^1

c

for c

9) P = A

1 + rt

for r

Find the following.

  1. One printer can do a printing job in 2 hours. Another printer can do the same job in 15 hours. How long can they do the job working together?

  2. One maid can clean the house in 2 hours. Another maid can do the job in 3 hours. How long will it take them to do the job working together?

  3. A boat can go 88 mph in still water. It takes as long to go 200 miles upstream as it does to go downstream 240 miles. How fast is the current?

Find the x- and y-intercepts, if possible. Then graph the equation.

  1. 25y - 5x = -

  2. 4x - 8y = 8

  3. x = 6

Find the slope of the line through the pair of points.

  1. (-5, -7) and (-6, -9)

  2. (5, -9) and (-6, -1)

Find the slope of the line and sketch the graph.

  1. 4x + 5y = 32

Graph the line described.

  1. Through (-2, -4); m = 3

Decide whether the pair of lines is parallel, perpendicular, or neither.

  1. 3x - 8y = 14 and 32x + 12y = 12

Find the equation in slope-intercept form of the line satisfying the conditions.

  1. m = -^2 9

; y-intercept 0,^31 9

  1. m =^5 2

; y-intercept (0, -3)

Write the equation in slope-intercept form.

  1. 7x + 5y = 19
  1. x - 8y = 7

Find an equation of the line that satisfies the conditions. Write the equation in standard form.

  1. Through (0, 2); m =

Decide whether the relation is a function.

  1. {(-3, 3), (3, -7), (4, 7), (9, 2), (11, -6)}

Decide whether the relation is a function, and give the domain and range.

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

Find the following.

  1. Find f(0) when f(x) = x2 + 5x - 7

  2. Find f(k) when f(x) = 3x2 + 4x + 5

  3. Find f(k - 1) when f(x) = 3x2 - 5x - 6

Solve the system.

  1. 3x + 2y = 5 -6x - 4y = 5

x -^1 3

y = 5

5 2

x +^2 3

y = 12

Solve the system.

  1. 5x - 6y = 4 -15x + 18y = 12

Find the following.

  1. The perimeter of a rectangle is 40 cm. The length is 12 cm longer than the width. What are the length and width of the rectangle?

  2. Bob fenced in a rectangular garden in his yard. The length of the rectangle is 5 feet longer than the width and the perimeter is 70 feet. What is the width of the rectangle?

  3. A woman made a deposit of $183. If her deposit consisted of 83 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit?

  4. There were 440 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $900. How many adults and how many children attended?

  5. How many liters (L) of a 20% alcohol solution must be mixed with 70% solution to get 100 liters of a 50% solution?

  6. How many liters (L) of a 10% silver iodide solution must be mixed with 9 L of a 4% silver iodide solution to get a 6% solution?

  7. A cruise boat travels 24 miles downstream in 4 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream.

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Answer Key Testname: DSPM 0850 TEST 2 REVIEW05F (4)

  1. Expression

  2. Equation

  3. { 1 }

  4. { -22 }

  5. {6, 2}

  6. 2 7

  7. {5}

  8. c = ab a + b

  9. r = A - P Pt

  10. 1 13 17

hours

hr

  1. 8 mph
  2. (2, 0); 0, -^2 5

-10 -5^5 10 x

y 10

5

-10 -5^5 10 x

y 10

5

-10 -5^5 10 x

y 10

5

-10 -5^5 10 x

y 10

5

  1.  

-10 -5^5 10 x

y 10

5

-10 -5^5 10 x

y 10

5

  1. 2

    • 8 11
  2. Slope: -^4 5

-10 -5^5 10 x

y 10

5

-10 -5^5 10 x

y 10

5

Answer Key Testname: DSPM 0850 TEST 2 REVIEW05F (4)

-10 -5^5 10 x

y 10

5

-10 -5^5 10 x

y 10

5

  1. Perpendicular
  2. y = -

x +

  1. y =

x - 3

  1. y = -^7 5

x +^19 5

  1. y =^1 8

x -^7 8

  1. 5x - 7y = -
  2. Function
  3. Function; domain: (-, ); range: (-, )
  4. 3k2 + 4k + 5
  5. 3k2 - 11k + 2
  6. 
  7. {(4, 3)}
  8. 
  9. Length: 16 cm; width: 4 cm
  10. 15 feet
  11. 58 one-dollar bills
  12. 230 adults and 210 children
  13. 40 L
  14. 4.5 L
  15. 1 mph
  16. 17 games
  17. 15 quarters
  18. 119 mph

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