IM1 SEM2 SUHSD EOC RELEASED ITEMS

In a right triangle, if one of the angles is 30\degree, what is the measure of the other acute angle?

A right triangle has a hypotenuse length of 17 and a leg length of 8. What is the length of the other leg? Draw a diagram.

Suppose \angle PQR is supplementary to \angle PQS. If m\angle PQS = 110 \degree, what is m\angle PQR?

Which statement below is true?

Which statement below is true?

Pair the corresponding angles from \triangle PQR and \triangle STU

Brianna bought a Honda Civic for $19,000 in 2018. The value of the car depreciates 2.1% every year. How much will the car be worth in 2024? Round to the nearest cent.

Based on the graph above, what is the equation of the exponential function written in the form y=ab^x

6900 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 26 years, to the nearest cent?

Which of the following equations represents exponential decay?

Graph -3x - 2y > 6

Choose the correct graph for the inequality: y>x+5

Solve for x and graph the solution on the number line 10+x >3

Graph the linear inequality below:

Select the correct solution for the inequality and its graph: -4+b<-11

Graph 2x + 4y < 8

Solve each system by graphing. You may use the embedded Desmos graphing utility above. Identify the solution(s) and number of solutions of each system. Some labels may not be used.

Solve the following system by graphing. Make sure to clearly mark the solution on the graph.

y=-5x+1

y=-x-3

Solve the system of equations using substitution:

y = x - 4

2x - 3y = 6

Select the x and y value.

Error Analysis: Given the problem below solved by a student that made an error. The student attempted to use the substitution method. Explain the error, and correct their work to get the right answer.

Equation 1: x+4y = 2

Equation 2: 2x-y= -14

Solution:

Step 1: 2x – y = -14

Step 2: 2(2+4y) – y = -14

Step 3: 4+8y-y = -14

Step 4: 4+ 7y = -14

Step 5: 7y=-18

y=-\frac{18}{7}

Step 6: x+4(-\frac{18}{7}) = 2

x=\frac{86}{7}

Solve the system of equations using substitution:

y = 3x - 1

x = 2y + 1

Solve the system of equations:

3x-y=2

2x+y=3

What is the value of y?

Solve the system by elimination.

10x+6y=16

-10x+5y=50

Match each system with the correct solution.

Which systems have exactly one solution?

Suppose Alex sells 2 pens and 3 highlighters for $13, and Ben sells 3 pens and 2 highlighters for $12. Select the equations that would represent this as a system of equations.

Let p represent the cost for each pen and h represent the cost for each highlighter.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 18 cubic feet. A total of 27 boxes of paper were shipped with a combined volume of 342 cubic feet. Determine the number of large boxes shipped.

If 5 oranges and 3 apples cost $9, and 10 oranges and 6 apples cost $18, what is the cost of 1 orange?

Noah went into a movie theater and bought 9 drinks and 4 candies, costing a total of $60. Nachelle went into the same movie theater and bought 10 drinks and 2 candies, costing a total of $57.50. Determine the price of each candy.

Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Nathan played and the number of rides Nathan went on.

Choose which system below is solved easiest by elimination method

Which algebraic method makes most sense to use when there is a system with one equation in standard form and the other in slope-intercept form.

Match the system of equations to the correct graphical representation.

In a class survey, 7 students chose vanilla ice cream, 5 chose chocolate, 3 chose strawberry, and 1 chose mint. Create a dot plot representing this data

Using the dot plot, figure out the mode and mean of the data

Answer the following question based on the two-way table below. What is the probability that a randomly chosen person is on the marching band and on a team sport?

Match each geometric sequence with its common ratio.

Match each sequence with its general term formula.

Match the sequence with its first four terms.