Math 092 - Basic AlgebraAssessment #1Total: 50 Marks1. From the listed group of numbers below, state two (2) examples of:i. Natural Numbersii. Rational Numbersiii. Irrational Numbers-17, 2, 3, 16, , 8 [6 marks]

2. Find the following in numerical terms:i. The reciprocal of two thirds.ii. The opposite of negative nine. iii. The product of six and negative 2 [3 marks]

3. Evaluate the following:i. [2 marks]ii. [2 marks]

4. Write the following in expressions in numerical terms and simplify:i. The product of 12 and -6 added to 52ii. Half the difference between -11 and -23 [4 marks]

5. Evaluate the following:i. (-5)4 [2 marks]

ii. 120 [2 marks]

iii. [3 marks]

6. State which of the following statements demonstrate the distributive, associative, commutative, identity and inverse property:i. 11+7+8+2 = (11+7) + (8+2)ii. 8 x 4 x 3 = 3 x 4 x 8iii. n x 1 = niv. v. [5 marks]

7. State whether the following terms are like or unlike:i. 7mn2, 11mn2ii. 13r2, 13riii. 3a2b, a2b [3 marks]

8. Given values of: , determine:i. [3 marks]

ii. [3 marks]

9. Write algebraic expressions for the following (using x for the number): i. Twice the sum of a number and 13 subtracted from 11 ii. A number is decreased by 6 then divided by 2 [4 marks]

10. Choose the linear equation from the equations below:i. ii. iii. [1 mark]

11. Solve the following equations:i. 4x + 6 + 2x 3 = 9 + 5x 4 [3 marks]

ii. 4 (r + 1) (3r + 5) = 1 [4 marks]

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