Algebra -Inequalites and Systems of Equations

Question 1

Graphing reminder: in y = mx + b, you always move with _____.

Accepted Answer

m

Question 2

What equation should you get after using elimination on x + 2y = 5 and 2x - 2y = 4?

Accepted Answer

3x = 9

Question 3

Is (5, 2) a solution to this graph?

Accepted Answer

No

Question 4

On a graph, a solution to a system is _____.

Accepted Answer

the intersection of the two lines

Question 5

Coinciding lines (lines that lie on top of each other) have _____ solutions.

Accepted Answer

infinitely many

Question 6

Which inequalities (<, >, ≤, ≥) use an open circle?

Accepted Answer

>, <

Question 7

Now fully solve the system x + 2y = 5 and 2x - 2y = 4 by elimination.

Accepted Answer

(3,1)

Question 8

To use the elimination method, the coefficients (number in front of variables) must be _____.

Accepted Answer

the same number, but different sign

Question 9

What is the equation that represents this number line?

Accepted Answer

x < 1

Question 10

Parallel lines have _____ solution.

Accepted Answer

no

Question 11

What do you do if the coefficients are the same, both number and sign?

Accepted Answer

Flip the sign of everything

Question 12

Which inequalities (<, >, ≤, ≥) use an closed circle?

Accepted Answer

≤, ≥

Question 13

Is (4, -1) in the solution set of 3x + 4y ≥ 8?

Accepted Answer

Yes

Question 14

Is (2, 3) in the solution set of y > 2x - 1?

Accepted Answer

No

Question 15

Now fully solve the system: 3x - 4y = -7 and -3x + -8y = -17 using elimination.

Accepted Answer

(1/3, 2)

Question 16

Which point is the solution to the system below?

Accepted Answer

(-2, 1)

Question 17

What is the equation that represents this number line?

Accepted Answer

x ≥ -4

Question 18

Now solve x + 2(3x) = 14 for x.

Accepted Answer

x = 2

Question 19

A system of equations consists of _____.

Accepted Answer

two equations or more

Question 20

Solve this system using any method you like: y = 4x and 2y - 4x = 36.

Accepted Answer

(9, 36)

Question 21

Which ordered pair is a solution to this graph?

Accepted Answer

(0, 0)

Question 22

Solve this system using any method you like: 4y - 3x = 18 and 4y + 3x = 14

Accepted Answer

(-1, 4)

Question 23

So x = 2. Use that to find y using y = 2x.

Accepted Answer

y = 4

Question 24

In order to be a solution, an ordered pair must make an inequality _____.

Accepted Answer

true

Question 25

Use substitution to solve the system: x = 3y and 9y = 2x + 18

Accepted Answer

(18, 6)

Question 26

To be a solution on a graph, a point must lie _____.

Accepted Answer

in the shaded area

Question 27

Substitute y = 2x into the equation x + 3y = 14

Accepted Answer

x + 3(2x) = 14

Question 28

Would elimination work on the system: x + 2y = 5 and 2x - 2y = 4?

Accepted Answer

Yes, and y eliminates

Question 29

Graphing reminder: in y = mx + b, you always begin with _____.

Accepted Answer

b

Question 30

Is 3 + -4 < 1 + 1 true?

Accepted Answer

Yse

Question 31

What should you do before going to bed to help remember anything?

Accepted Answer

Review it, but also do it.

Question 32

Flip the signs on the second equation: 3x - 4y = -7 and 3x + 8y = 17

Accepted Answer

-3x - 8y = -17

Algebra -Inequalites and Systems of Equations

Questions 32

Algebra -Inequalites and Systems of Equations

Questions 32