Algebra Answers

Solve the system of the following equations by either substitution or elimination:

3𝑥𝑥−2𝑦𝑦=14

4𝑥𝑥−3𝑦𝑦=17

If (𝑥𝑥)=2𝑥𝑥2−3𝑥𝑥+4𝑥𝑥 , find: 𝑓𝑓(−2) (2)

Graph the following function: 𝑦𝑦=2𝑥𝑥+5 (5

Two different fast-food restaurants charge different amounts for each burger meal. For Burger Queen, the cost is determined by the equation of 𝐶𝐶=12𝑏𝑏+30 where 𝐶𝐶 is the total cost of a burger meal in Rands and 𝑏𝑏is the amount of burger meals ordered. For MacDanny’s the total cost of a burger meal is calculated with the equation of 𝐶𝐶=30𝑏𝑏.

What is the cost of a burger meal in each case for a customer who ordered a burger meal?

4.1. Burger Queen? (2)

4.2. MacDanny? (2) What is the total cost of burger meals in each case for a customer who ordered

19 burger meals?

4.3. Burger Queen? (2)

4.4. MacDanny? (2)

4.5. Explain which equation you think is more realistic and why. (2)

TYPE A PROBLEM.

CHOOSE ONE INTEGER FROM THE FOLLOWING SET: -5 ≤ X ≤ 5. STATE THE INTEGER YOU CHOSE.

WHEN USING LONG DIVISION, WHAT BINOMIAL WOULD YOU DIVIDE BY TO DETERMINE IF THE INTEGER YOU CHOSE IS A ZERO FOR YOUR POLYNOMIAL?

DO THE LONG DIVISION

WRITE THE ANSWER TO THE LONG DIVISION PROBLEM IN THE FORM QUOTIENT + REMAINDER/DIVISOR

A wedding planner caters for wedding receptions. He charges R960 for the use of the venue and R 260 per person for a meal. 

Write a formula relating the cost of the function to the number of guests. Using your formula, evaluate the total cost for 120 people at the wedding.

solve the following using gaussian elimination method 2x + y + 3z = 4 x + y + 2z = 0 2x + 4y + 6z = -8

If you share an eight-piece slab of chocolate among (i) 2 people and (ii) 5 people, how much will each get. Illustrate

How could you (as the teacher) assist learners to use the clock watch as a learner-centred media resource to build up their understanding of numbers. [Hint: To answer this question, choose any topic (NOT TIME) under whole numbers to illustrate your understanding of the use of the media resources]. It is also important to draw the sketch of a watch where you could refer from.

How would you use a teacher-centred media resource to explain the meaning of (5x 6) and (6 x 5) to a Grade 5 leaner?