advertisement

GRADE: 9 SUBJECT: MATHEMATICS TERM THREE FORMAL ASSESSMENT TASK - ASSIGNMENT Name: _______________________________________________________ Class: ___________________________ Date: ______________________ School: __________________________ Teacher:___________________ FAT Activity/Form 3.2 ASSIGNMENT TOTAL Learner’s mark Learner’s % 1 MATHEMATICS GRADE 9 FORMAL ASSESSMENT TASK (FAT) 3.2: ASSIGNMENT: GRAPHS Total: 60 Marks Time: 1 period in the class Name: _____________________________________ Date: _____________ _____________________________________________________________________________________________ Instructions: 1) 2) 3) 4) 5) Write your name and date in the spaces provided. Show calculations as requested on question paper. You may use a calculator. It must be your own work. Check your answers. Question 1: From the table below, write down the ordered pairs and plot the points on the Cartesian planes provided: 1.1 x y 1.1.1 ___________________________________________________________________________________________________________ (6) 3 0 2 -1 1 -2 0 -3 -1 -4 -2 -5 1. 1.2 (6) [12] Mathematics Grade 9 2 Question 2: 2.1 Determine the gradient of the lines on each Cartesian plane: a. ________________________________________________ (3) b. ____________________________________________ (3) 2.2 Draw labeled graphs determined by the following equations, showing all the necessary intercepts. Draw 2 graphs per grid. (4 x 4 = 16) 2.2.1 𝑦 = −2𝑥 + 4 2.2.3 𝑦– 𝑥 + 3 = 0 2.2.2 𝑦 = ½𝑥– 3 2.2.4 2𝑥 + 𝑦 = 8 [22] Mathematics Grade 9 2 Question 3: Determine, by inspection, the equation of the line if the following points lie on it: 𝑥 𝑦 -3 -9 -2 -7 -1 -5 0 -3 1 -1 [6] 2 1 3 3 _________________________________________________________________________________________________________________________________ Question 4: Find the equations of the graphs indicated below: 4.1 4.2 __________________________________________________ (3) _________________________________________________(3) Question 5: A Businessman earns a basic salary of R1 000 plus R500 commission for every item he sells. 5.1 Write a function for calculating the salesman’s salary (𝑦) if he sells 𝑥 items. ________________________________________________________________________________________________ Mathematics Grade 9 (3) 3 5.2 Complete the table of values using your function from Question 5.1. 𝑥 𝑦 1 2 3 4 (5) 5 5.3 Draw a grid using a scale of 0 to 10 on the 𝑥-axis and 0 to 5 000 (with intervals of 500) on the 𝑦-axis, and plot a graph based on your table. 5.4 Use the graph to find out how much the salesman would be paid if he sold 7 items. (2) ___________________________________________________________________________________________________________ 5.5 Use the function you wrote in Question 5.1 to check your answer to Question 5.4. ____________________________________________________________________________________________________________ Mathematics Grade 9 (3)