Algebra 1 Benchmark Review

Polynomials

100

Find the difference: (4x²-3x+5) - (-x+3x²-8)

 

x² -2x+13

200

Fully simplify the following polynomial expression: 2(3x-2)(-4x+7)

-24x²+58x-28

300

Factor the following polynomial: x²-2x = 35

(x+5)(x-7)

400

Factor the following polynomial: 36x²-121

(6x+11)(6x-11)

500

Factor the following polynomial: -14x+2x³+35-5x²

(x²-7)(2x-5)

Graphing Quadratics

100

Sketch a graph of a quadratic function whose "a" is negative, and is translated up 5 and to the right 3.

teacher discretion

200

What method of solving quadratics always works? Write it out!

What is quadratic formula?

300

List the transformations of the following quadratic (in order): y = -3(x+5)²-7

Reflection over the x-axis

Vertical stretch of 3

Left 5

Down 7

400

Write the vertex of the following quadratic: -3x²-6x+1=0

(-1,4)

500

Convert the following quadratic into vertex form by completing the square: x²-14x-6 = 0

(x-7)²-55 = 0

Solving Quadratics

100

Simplify the following: -5√108 

-30√ 3

200

Solve the following quadratic equation  x² - 6x + 5= 0

x = 1, x = 5

300

Solve the following quadratic: x²+12x+20=0

x = -2, x = -10

400

Solve the following quadratic using the quadratic formula: -x²+7x-10 = 0

x = 2, x = 5

500

A ball is launched at an initial velocity of 48 feet per second from a platform that is 64 feet high. (Remember that the vertical motion formula is h = -16t²+vt+s). At what time will the ball hit the ground?

4 seconds

Exponentials

100

What kind of equation (linear, quadratic, exponential growth/decay) is shown below?

y=3(1/2)^x

Exponential Decay

200

Simplify the following expression: (sd³)⁶

s⁶d¹⁸

300

Given y = 1/6 (3)^x, calculate the value of y when x = -2

y = 1/54

400

Write the equation for the nth term of the following geometric sequence: 100, 25, 12.5, 3.125, 0.78125...

y = 100(1/4)ⁿ

500

Mr. Davis is still sick of your cell phones. Once again, he allows Manny to bash 10% of the phones into an unusable pile of trash each day. If all 27 students have cell phones at the start of this revolution, how many phones will remain after after 6 days of bashing? Round to the nearest whole phone.

14 cell phones

Randomness

100

Solve the equation: 7x + 3 = 2x + 13

x = 2

200

write the inequality in slope intercept form: y - 3x > 6

y > 3x + 6

300

If you are solving a system of inequalities, how do you know what the solution(s) is/are?

what is the shaded region on a graph OR what is a point that satisfies the inequality

400

What is a group of lions called?

what is pride?

500

Who is on the $20 bill?

who is Andrew Jackson?