Midterm Review (Algebra 1)

Linear Equations/Slope

100

What is the slope of y=3x-2

Slope (m) is 3

200

On Amazon you can buy an Xbox for $140 and each game costs $25. Or you could buy a PlayStation for $170 and each game for $20. Write an equation to determine how many games would need to be purchased to make the cost equal.

140+25x=170+20x

300

Rewrite in slope-intercept form (get y alone): 4x+2y>-10

y>-5+2x

400

What is the solution to the system of equations

(0,1)

500

Summer's school is selling tickets to the spring festival. On the first day of ticket sales they sold 3 adult tickets and 8 students tickets for $72. The school raised $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket? (hint use x for adults and y for students then use desmos to find the intersection for y)

$6

Equations Expressions

100

The sum of 30 and twice a number is 120. What is the number? (hint create the equation first then solve)

x=45

200

Solve for a: -2a+4(1-6a)= -48

a= 2

300

Three less than 4 times a number is less than 30. What does this look like as an inequality

4x-3<30

400

The formula for volume is V=lwh . Solve this equation for h (isolate h).

V/lw=h

500

Solve the following inequality for x: 4(7-3x)<-20

X>4

Exponential Functions

100

What is the asymptote of f(x)=3^x+2

Asymptote y=2

200

Is f(x)=2^x exponential growth or decay?

Exponential growth (the base is greater than 1)

300

y=2(4)^x-5 . What is the y-intercept and asymptote of the exponential function?

y-int: -3 and Asymptote: -5

400

Hannah has $400 in a bank account earning 2% interest each year. Write an exponential expression representing this. Let y be the amount of money in the account after x years.

y=400(1+.02)^x

500

A bacteria doubles every hour, if we start with 2 bacteria, how many bacteria are there in 3 hours?

16

Sequences

100

Which type of sequence has a common ratio that we multiply by?

Geometric Sequence

200

What is the next term in this sequence: 1,-5,25,-125

625

300

Find a(20) if the first term in the sequence is 2 and the common difference is -1

(hint the formula is an=a1-d(n-1) )

-17

400

What is the 7th term in this sequence 1,3,9,27... (use the formula an=a1*r^n-1)

729

500

What is the 11th term in this sequence: 1,5,9,13...

(Hint formula: an=a1+d(n-1)

41

Misc.

100

Does this line have a positive or negative slope: y=-2x+1

Negative

200

Anna takes 2.5 hours to complete all her IXLs. How many seconds did this take her?

9000 seconds

300

Simplify: (x²)³

x⁶

400

Which of the following (there are multiple) categories does the number 4 fall into: Natural, Whole, Integer, Rational, Irrational, Real

Natural, Whole, Integer, Rational, and Real

500

Simplify: (2x²)²(xy)³

4x⁷y³