Free Printable revision ch.2

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revision ch.2

Total questions: 47

Worksheet time: 5hrs 47mins

Name

Class

Date

Pick the correct letter for:
6 > x

Write an inequality for Graph 4.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

Find the Error
What mistake did the student make when solving the equation:
⅕x + 6 = ⅗x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

The student found an incorrect common denominator

The student did not multiply all terms by the common denominator

The student did not use opposite operations appropriately

The student did not correctly eliminate the variable from one side of the equation

Solve the following equation for x:
4(2x - 3) = 6x + 2

x = 5/2

x = 7

x = 1

no solution

Which of the following equations would have no solution?

3x + 9 = 2x + 9

8x = 8x + 4

3(4x + 4) = 12x +4

-5x + 10 = 10 - 5x

Solve for y

2y + 5 ≤ 3(y - 2)

y ≥ 4

y ≤ 4

y ≥ -1

y ≤ -1

Solve the inequality

Write an inequality for Graph 4.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

Which is the equation of the line with y-intercept -5 and slope 3?

y = -5x + 3

y = 2x

y = -5x - 3

y = 3x - 5

10.

Write the equation of the line with slope 4 through the point (-2, 5).

y = 4x - 13

y = 4x + 13

y = 4x - 3

y = 4x + 3

11.

What is the equation of a line in slope-intercept form?

m = (y₂ - y₁)/(x₂ - x₁)

y = mx + b

y - y₁ = m(x - x₁)

ax + by = c

12.

Write the equation of the line.

y = -1/3x - 2

y = 1/3x - 2

y = 3x - 2

y = -3x - 2

13.

What is the slope-intercept form of this line?

y = 5

y = 5x

y = -5x

y = -5

14.

Which equation is written in STANDARD form?

y = 1/2x + 2

y - 3 = -5(x + 2)

-7x + 2y = 9

3x + 2 = y

15.

Which graph represents 2x + 4y = 12?

16.

What is another way to express the absolute value of a number?

The value of a number

The opposite of a number

The distance of a number from zero

The multiplicative inverse of a number

17.

Evaluate each expression.
| x + 9 | = -5

-14

-4

{-14, -4}

no solution

18.

∣ 2x + 9 ∣ = 15

x = 3

x = 3
x = -6

x = 3
x = -12

x = 6
x = -12

19.

Solve the equation |−4 + 5x| = 16.

{16/5,12/5}

{4,-5}

{-12/5, 4}

20.

−2|−2r − 4| = -12

{5,1}

{-5, -1}

{-5, 1}

No Solution

21.

|v + 8| − 5 = 2

{-1,-15}

{-1,-5}

{-15,15}

No Solution

22.

Write an inequality for Graph 4.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

23.

Write an inequality for Graph 5.

-2 < x < 5

x < -2 or x > 5

x ≥ -2 OR x < 5

-2 ≤ x ≤ 5

24.

| 3w - 2 | < 14

No Solution

All Real Numbers

-4 < w < 6

-6 < w < 4

25.

What is the solution to the inequality | n + 2 | - 3 ≥ -6?

No Solution

All Real Numbers

n ≤ -5 or n ≥ 1

-5 ≤ n ≤ 1

26.

no solution

-6 ≤ r ≥ 8

6 > r > -8

-6 < r < 8

27.

n > 1 or n < -7

n > -1 or n < -7

-7 < n < -1

no solution

28.

Which ordered pair is the solution of the system graphed below?

(2, 0)

(8, 0)

(-3, 5)

(3, 8)

29.

^{What is the solution?}

-2

(1, 2)

(1, -1)

30.

What is the y-intercept of the linear equation:
y = -5x + 6?

1/5

-5x

31.

What type of solution to a system of equations is shown in the graph?

one solution

no solution

infinitely many solutions

32.

^{What is the solution?}

-2

(1, 2)

(1, -1)

33.

What is the value of x in the equation?

x = 3

x = 2

x = No Solution

x = 6

34.

What is the solution?

(6, 3)

(3, 6)

(-6, 3)

No solution

35.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

36.

What is the solution to the given system?

x = 1

y = 2

(1, 2)

(2, 1)

37.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

(-3,-8)

(-8,-3)

(3,-8)

(8,3)

38.

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

39.

Is (1,1) a solution to the system?

Solution

Not a solution

40.

Is (-2,4) a solution to the system?

Yes

41.

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

42.

Which system of inequalities matches the graph?

y > 2x - 4
y < 2

y < 2x - 4
y < 2

y > 2x - 4
y < 2

y < 2x - 4
y < -2

43.

Which system of inequalities is shown?

y ≥ -x - 1
y < x + 4

y < -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 3

44.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

x+y≤300
7.5x+5.5y≥2000

x+y<300
7.5x+5.5y≥2000

x+y≤300
7.5x+5.5y≤2000

x+y>2000
7.5x+5.5y≤300

45.

What is the main characteristic of systems of equations?

Systems of equations have 1 solution, no solution, or infinite solutions.

Systems of equations use slope-intercept form only.

Systems of equations have a shaded region.

There is no difference.

46.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

47.

What is the minimum number of points Cole needs to score in order to win money for the charity in his basketball challenge?

100 %

revision ch.2

Total questions: 47

Worksheet time: 5hrs 47mins

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