Algebra 1 Midterm Review

Scientific Notation

100

Convert to scientific notation: 25,360

2.536⋅10⁴

200

Is the number Scientific Notation:

0.63⋅10⁻⁶

False, 0.63 is smaller than 1

300

Convert to scientific notation: 0.0000003

3.0⋅10⁻⁷

400

6.7⋅10³ = 67,000

OR

5.4⋅10⁴ = 54,000

5.4⋅10⁴ = 54,000

500

Convert to standard notation: 

9.64⋅10⁻⁷

0.000000964

Polynomials

100

(3x+2)+(4x−2)+(x²−x)

x²+6x

200

Multiply the following polynomials

(3r + 5)(4r² + 3r + 3)

12r³+29r²+24r +15

300

Put this in standard form and name it:

4x3 - 1 - 2x + 3x2 - 7 + x + 7x2 - 9x3 + 8 + x

-5x³ + 10x² 

Cubic Binomial

400

Factor the following polynomial:

z²−10z+9

(z−9)(z−1)

500

Factor the following polynomial by grouping:

18x+33−6x⁴−11x³

(6x+11)(3−x³)

Linear Equation

100

Solve: (3x-5)/4 = 5

x = 25/3

200

m−2 divided by 3 + 1 = 2m divided by 7

m = -14

300

3(x+5)=2(−6−x)−2x

x = -27/7

400

 8(2 + 3x) + 1= x - 10(x + 1)

x = -9/11

500

3y+4 divided by y−1=2+7 divided by y−1

y = 1

Rationalization

100

4 / √x

4 √x / x

200

1/ 3 - √x

3 + √x divided by 9 - x

300

5 / 4 √x + √3

5(4 √x - √3) / 16x - 3

400

4 / √x + 2 (√y)

4√x − 8√y / x−4y

500

10 / 3 − 5√x

30 + 50√x / 9−25x

Equations with more than one variable

100

Solve A =3p(4−2r) for p.

p = A / 12 - 6r

200

Solve y = 10 / 3−7x for x

x = 3y−10 / 7y

300

Solve y =3 + x / 12−9x for x

x = 12y−3 / 1+9y

400

 Solve Q = 6h / 7s + 4(1−h) for h.

h = 7sQ − 28s / 6 − 28s

500

Solve A−1−2t / 4p = 4+3t / 5p for t.

t = 20Ap − 21 / 2