Algebra 1 Midterm Review

Numbers & Properties

100

Put the numbers in order from smallest to largest: 2, 0, 1/2, -1, -1/4

In order: -1, -1/4, 0, 1/2, 2

200

What is the main feature of irrational numbers?

A decimal value that doesn't terminate or repeat.

300

How many integers are within 3.5 units of 0 on the number line?

The integers are 3, 2, 1, 0, -1, -2, and 3 There are 7 in total.

400

Is this maneuver legal or illegal? (x+2y) / 2 = x + y

Illegal. You must divide both terms by 2, so the correct answer would be (x+2y) / 2 = x/2 + y

500

State the property being used: -3(4+5) = -3(4)-3(5).

Distributive

Super Simplify

100

Simplify 3(1-2).

-3

200

Simplify 3a + b - 2a + 2b.

a + 3b

300

Simplify (3x²-5x+2)+(-x²+2x-5)

2x²-3x-3

400

Simplify -4(5+1) -6 + 2(3-2)x

-30+2x

500

Simplify (x⁵+3x⁴-2x²+1)-(2x⁴+5x³-4x²-5)

x⁵+x⁴-5x³+2x²+6

S-s-s-s-solve it!

100

Solve for x: 2x-6 = 6

x=6

200

Solve for y: y + 2y - 5 = 10

y = 5

300

Solve for w: -6(w+1) = w+8

w = -2

400

Solve for y: 5x + 6y = 12

y = -5/6 x + 2

500

Solve for z: 3zh/k = 5

z = 5k/3h

So Not Equal

100

Graph: x > -5

Open circle on 5, shade to the right.

200

Solve 84>-6(-2a+2)

a<8

300

Write an inequality to represent the scenario.

The maximum speed limit on Interstate 85 is 70mph but the minimum speed limit is 40mph.

40<=x<=70

400

Graph on a number line: -2|x+1| > -4

x<1 and x>-3. Shade between -3 and 1.

500

Graph on a number line: 3<|x-2|

x>5 or x<-1, graph to the left of -1 and to the right of 5.

Slippery Slope

100

Find the slope of the line between (0,1) and (2,4).

Use the slope formula. m = 3/2.

200

Find the slope of the line between (-1,2) and (2,2).

m = 0. The line is horizontal.

300

Find 2 points on the line 3x - y = 0

Answers may vary. Two possible points are (1,3) and (2,6).

400

What is the slope of the line x=2?

Undefined - this is a vertical line

500

What is the slope of the line 5x=-9y+6

m=-5/9