Quick Math Basics Check-In

We will be focusing on refreshing some of our early Algebra 1 skills this week, including combining like terms, distributive property, exponents, simplifying expressions, and thinking of factors. In the chart below, organize how you feel your skills are for each topic by putting it in the appropriate column. You will not be marked wrong for your answers for this question. I am just curious how you feel about each topic. I feel confident about.... Combining Like Terms Simplifying Expressions Distributive Property I do not feel confident about.... Exponents Factoring Use your order of operations to simplify the following expression: -12 + 5(7 - 10)2 + 6 - 2(4)2 -83 7 -25 184 If x = 5, y = -2, and z = 8, find the value of (x - z)3 + (y - x)2 - (y + z)2 -22 -58 -14 -78 Given the quadratic function y = 2x2 - 5x + 8, find the y-coordinate of the function when x = -4 y = 60 y = -4 y = 20 y = 44 The length of a rectangle is given by the expression 6x - 4. The width of the rectangle is given by the expression 4x + 7. FInd an expression that represents the perimeter of the rectangle. If necessary, draw a picture to demonstrate your work or thoughts. Consider the expression -8x2 + 7x3 + 12 - 4x, fill in the blanks of the statement below. The function is not written in standard form. The leading coefficient of the expression is 7. The degree of the expression is 3. The constant of the expression is 12. Simplify the expression below by distributing and combining like terms: -3(2x + 4) - 6(7 - 8x) + 12x - 9 -7x - 11 54x - 63 -48x - 21 22x - 50 Which of the following is NOT TRUE of the expression 5x4 + 12x2 - 7x + 9? The expression is written in standard form The value 9 is considered a constant The degree is 4. The leading coefficient is 12. Solve the equation. If necessary, leave your answer in fraction form. 4(2x - 3) + 8 = -5(2 - x) + 10 Recall that factors can be thought of as all positive integers that divide evenly into a larger number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because they are divide evenly into 12. List all the possible positive integers that are factors 36. Solve for x: -2(-8 + 3x) = 10 - (8x + 4) x = -5 x = -11 x = 5 x = 15 Graph the linear equation y = -2x + 5 on the coordinate plane provided below. On the coordinate plane provided, graph the following set of coordinates:(-5, 5) , (-4, 0) , (-3, -3) , (-2, -4) , (-1, -3) , (0, 0) and (1, 5).Moving from left to right and remember that, in order for a set of points to be considered a function, it needs to pass the vertical line test, connect the points. Based on your graph from the previous question, what can you tell me about the graph? Please provide any information that you can about what you think this graph represents? There is no wrong answer here. I am curious to see and read what you think and know from previous courses.